## SandyHearts 3 years ago Find the values of the trigonometric functions of θ from the given information: secθ=5, sinθ<0

1. atlas

281.5 degrees

2. atlas

here find $\theta= \cos^{-1} (1/5)$

3. atlas

change the angle to 4th quadrant

4. cwrw238

if sin theta is negative the angles will be in the 3rd and 4th quadrants if sec theta = 5 cos theta = 1/5 or 0.2 theta = arcsin 0.2 = 78.5 in first quadrant as sin theta is negative theta = 360 - 78.5 = 281.5 degrees

5. xXXx

________________ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ __________$$____$$ ________$$____$$____$$____$$$$________$$____$$____$$____$$__$$ $$__$$____$$____$$____$$____$$ $$____$$$$________________$$__________$$______________________$$ __$$____$$______________________$$___$$$__$$______________________$$ ____$$__________________________$$ _____$$________________________$$ ______$$______________________$$$ _______$$____________________$$ ________$$____________________$$ _________$$________________$$$__________$$________________$$ __________________________ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ __________$$____$$ ________$$____$$____$$____$$$$________$$____$$____$$____$$__$$ $$__$$____$$____$$____$$____$$ $$____$$$$________________$$__________$$______________________$$ __$$____$$______________________$$___$$$__$$______________________$$ ____$$__________________________$$ _____$$________________________$$ ______$$______________________$$$_______$$____________________$$ ________$$____________________$$ _________$$________________$$$ __________$$________________$$ __________________________ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ __________$$____$$ ________$$____$$____$$____$$$$________$$____$$____$$____$$__$$ $$__$$____$$____$$____$$____$$ $$____$$$$________________$$__________$$______________________$$ __$$____$$______________________$$___$$$__$$______________________$$ ____$$__________________________$$ _____$$________________________$$ ______$$______________________$$$ _______$$____________________$$ ________$$____________________$$ _________$$________________$$$__________$$________________$$ __________________________ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ __________$$____$$ ________$$____$$____$$____$$$$________$$____$$____$$____$$__$$ $$__$$____$$____$$____$$____$$ $$____$$$$________________$$__________$$______________________$$ __$$____$$______________________$$___$$$__$$______________________$$ ____$$__________________________$$ _____$$________________________$$ ______$$______________________$$$_______$$____________________$$ ________$$____________________$$ _________$$________________$$$ __________$$________________$$ __________________________ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ __________$$____$$ ________$$____$$____$$____$$$$________$$____$$____$$____$$__$$ $$__$$____$$____$$____$$____$$ $$____$$$$________________$$__________$$______________________$$ __$$____$$______________________$$___$$$__$$______________________$$ ____$$__________________________$$ _____$$________________________$$ ______$$______________________$$$ _______$$____________________$$ ________$$____________________$$ _________$$________________$$$__________$$________________$$ __________________________ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ __________$$____$$ ________$$____$$____$$____$$$$________$$____$$____$$____$$__$$ $$__$$____$$____$$____$$____$$ $$____$$$$________________$$__________$$______________________$$ __$$____$$______________________$$___$$$__$$______________________$$ ____$$__________________________$$ _____$$________________________$$ ______$$______________________$$$_______$$____________________$$ ________$$____________________$$ _________$$________________$$$ __________$$________________$$ __________________________ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ __________$$____$$ ________$$____$$____$$____$$$$________$$____$$____$$____$$__$$ $$__$$____$$____$$____$$____$$ $$____$$$$________________$$__________$$______________________$$ __$$____$$______________________$$___$$$__$$______________________$$ ____$$__________________________$$ _____$$________________________$$ ______$$______________________$$$ _______$$____________________$$ ________$$____________________$$ _________$$________________$$$__________$$________________$$ __________________________ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ __________$$____$$ ________$$____$$____$$____$$$$________$$____$$____$$____$$__$$ $$__$$____$$____$$____$$____$$ $$____$$$$________________$$__________$$______________________$$ __$$____$$______________________$$___$$$__$$______________________$$ ____$$__________________________$$ _____$$________________________$$ ______$$______________________$$$_______$$____________________$$ ________$$____________________$$ _________$$________________$$$ __________$$________________$$ __________________________ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ __________$$____$$ ________$$____$$____$$____$$$$________$$____$$____$$____$$__$$ $$__$$____$$____$$____$$____$$ $$____$$$$________________$$__________$$______________________$$ __$$____$$______________________$$___$$$__$$______________________$$ ____$$__________________________$$ _____$$________________________$$ ______$$______________________$$$ _______$$____________________$$ ________$$____________________$$ _________$$________________$$$__________$$________________$$ __________________________ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ __________$$____$$ ________$$____$$____$$____$$$$________$$____$$____$$____$$__$$ $$__$$____$$____$$____$$____$$ $$____$$$$________________$$__________$$______________________$$ __$$____$$______________________$$___$$$__$$______________________$$ ____$$__________________________$$ _____$$________________________$$ ______$$______________________$$$_______$$____________________$$ ________$$____________________$$ _________$$________________$$$ __________$$________________$$ __________________________ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ __________$$____$$ ________$$____$$____$$____$$$$________$$____$$____$$____$$__$$ $$__$$____$$____$$____$$____$$ $$____$$$$________________$$__________$$______________________$$ __$$____$$______________________$$___$$$__$$______________________$$ ____$$__________________________$$ _____$$________________________$$ ______$$______________________$$$ _______$$____________________$$ ________$$____________________$$ _________$$________________$$$__________$$________________$$ __________________________ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ __________$$____$$ ________$$____$$____$$____$$$$________$$____$$____$$____$$__$$ $$__$$____$$____$$____$$____$$ $$____$$$$________________$$__________$$______________________$$ __$$____$$______________________$$___$$$__$$______________________$$ ____$$__________________________$$ _____$$________________________$$ ______$$______________________$$$_______$$____________________$$ ________$$____________________$$ _________$$________________$$$ __________$$________________$$ __________________________ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ __________$$____$$ ________$$____$$____$$____$$$$________$$____$$____$$____$$__$$ $$__$$____$$____$$____$$____$$ $$____$$$$________________$$__________$$______________________$$ __$$____$$______________________$$___$$$__$$______________________$$ ____$$__________________________$$ _____$$________________________$$ ______$$______________________$$$ _______$$____________________$$ ________$$____________________$$ _________$$________________$$$__________$$________________$$ __________________________ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ __________$$____$$ ________$$____$$____$$____$$$$________$$____$$____$$____$$__$$ $$__$$____$$____$$____$$____$$ $$____$$$$________________$$__________$$______________________$$ __$$____$$______________________$$___$$$__$$______________________$$ ____$$__________________________$$ _____$$________________________$$ ______$$______________________$$$_______$$____________________$$ ________$$____________________$$ _________$$________________$$$ __________$$________________$$ __________________________ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ __________$$____$$ ________$$____$$____$$____$$$$________$$____$$____$$____$$__$$ $$__$$____$$____$$____$$____$$ $$____$$$$________________$$__________$$______________________$$ __$$____$$______________________$$___$$$__$$______________________$$ ____$$__________________________$$ _____$$________________________$$ ______$$______________________$$$ _______$$____________________$$ ________$$____________________$$ _________$$________________$$$__________$$________________$$ __________________________ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ __________$$____$$ ________$$____$$____$$____$$$$________$$____$$____$$____$$__$$ $$__$$____$$____$$____$$____$$ $$____$$$$________________$$__________$$______________________$$ __$$____$$______________________$$___$$$__$$______________________$$ ____$$__________________________$$ _____$$________________________$$ ______$$______________________$$$_______$$____________________$$ ________$$____________________$$ _________$$________________$$$ __________$$________________$$ __________________________ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ __________$$____$$ ________$$____$$____$$____$$$$________$$____$$____$$____$$__$$ $$__$$____$$____$$____$$____$$ $$____$$$$________________$$__________$$______________________$$ __$$____$$______________________$$___$$$__$$______________________$$ ____$$__________________________$$ _____$$________________________$$ ______$$______________________$$$ _______$$____________________$$ ________$$____________________$$ _________$$________________$$$__________$$________________$$ __________________________ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ __________$$____$$ ________$$____$$____$$____$$$$________$$____$$____$$____$$__$$ $$__$$____$$____$$____$$____$$ $$____$$$$________________$$__________$$______________________$$ __$$____$$______________________$$___$$$__$$______________________$$ ____$$__________________________$$ _____$$________________________$$ ______$$______________________$$$_______$$____________________$$ ________$$____________________$$ _________$$________________$$$ __________$$________________$$ __________________________ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ __________$$____$$ ________$$____$$____$$____$$$$________$$____$$____$$____$$__$$ $$__$$____$$____$$____$$____$$ $$____$$$$________________$$__________$$______________________$$ __$$____$$______________________$$___$$$__$$______________________$$ ____$$__________________________$$ _____$$________________________$$ ______$$______________________$$$ _______$$____________________$$ ________$$____________________$$ _________$$________________$$$__________$$________________$$ __________________________ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ __________$$____$$ ________$$____$$____$$____$$$$________$$____$$____$$____$$__$$ $$__$$____$$____$$____$$____$$ $$____$$$$________________$$__________$$______________________$$ __$$____$$______________________$$___$$$__$$______________________$$ ____$$__________________________$$ _____$$________________________$$ ______$$______________________$$$_______$$____________________$$ ________$$____________________$$ _________$$________________$$$ __________$$________________$$ __________________________ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ __________$$____$$ ________$$____$$____$$____$$$$________$$____$$____$$____$$__$$ $$__$$____$$____$$____$$____$$ $$____$$$$________________$$__________$$______________________$$ __$$____$$______________________$$___$$$__$$______________________$$ ____$$__________________________$$ _____$$________________________$$ ______$$______________________$$$ _______$$____________________$$ ________$$____________________$$ _________$$________________$$$__________$$________________$$ __________________________ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ ______________$$____$$ __________$$____$$ ________$$____$$____$$____$$$$________$$____$$____$$____$$__$$ $$__$$____$$____$$____$$____$$ $$____$$$$________________$$__________$$______________________$$ __$$____$$______________________$$___$$$__$$______________________$$ ____$$__________________________$$ _____$$________________________$$ ______$$______________________$$$_______$$____________________$$ ________$$____________________$$ _________$$________________$$$ __________$$________________$$ __________