In which quadrant are the terminal arms of the angleslie when, (1).sin theta<0 and con theta >0 (2).cot theta>0 and cosec theta>0 (3).tan theta<0 and cos theta>0 (4).sec theta<0 and sin theta>0 (5).cot theta>0 and sin theta<0
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@ziqbal103 You really need help on this? or did you already get your answer?
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In quadrant I A stands for All, meaning all of the sins, cos, and tans are positive
In quadrant II S stands for Sin, Meaning all but Sin becomes positive, the rest like cos and tan become negative
In quadrant III T stands for Tan, Meaning all but Tan becomes positive..
In quadrant IV C stands for Cos, Meaning all but Cos is positive
Now, I'll walk you through first one and maybe the second to help you. Give a man afish feed him for day, teach a man to fish feed him for a lifetime: Am I riight? :)
1) Sin<0 Cos>0
Now we know that sin is less then 0 meaning it is negative and Cos is greater than 0 meaning it is a positive
What quadrant has Cos positive but sin negative?
4 th quadrant
Correct! Now you just keep doing that and it's that easy!
Each letter in the beginning stands for sin, cos or tan and even All. and whichever it is, that is the one that's positive
next no.2 tell me @DanielK16 in which both are greater than zero ...
2) cotangent > 0 co-secant > 0
Just relax about the co's and just know that cotangent is just one over tan and co secant is one over sin
Now with that said, we know Tan is greater than 0 meaning it's positive, and Sin is also likewise...
We don't need to worry about Cos because in what quadrant does Tan and Sin both are positive?
Just mention my name when you get it all, I'll see if you got it all right :)
I'mma see if I could help out other people. So, good luck and call me if you need me!