anonymous
  • anonymous
FAN + MEDAL Tangent is positive in quadrants I and IV only. true or false?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
@Nnesha
Nnesha
  • Nnesha
|dw:1438291176227:dw|
Nnesha
  • Nnesha
remember the \(\huge\color{ReD}{\rm CAST}\) rule

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anonymous
  • anonymous
?
anonymous
  • anonymous
ohhhhhhhhh
anonymous
  • anonymous
so false right?
jdoe0001
  • jdoe0001
and SOH CAH TOA \(\bf sin(\theta)=\cfrac{opposite}{hypotenuse} \qquad \qquad % cosine cos(\theta)=\cfrac{adjacent}{hypotenuse} \\ \quad \\ % tangent tan(\theta)=\cfrac{opposite}{adjacent}\)
anonymous
  • anonymous
ok
Nnesha
  • Nnesha
yep
anonymous
  • anonymous
ok thank you
anonymous
  • anonymous
what about this one If cos Θ = negative two over five and tan Θ > 0, what is the value of sin Θ?
Nnesha
  • Nnesha
|dw:1438291452445:dw| remember tan = sin over cos so if sin and cos are negative tan would be positive negative divide by negative = positive
Nnesha
  • Nnesha
for that one you need to draw a right triangle
Nnesha
  • Nnesha
now they gave you the hints: cos is negative and tan is greater than 0 so at which quadrant you should draw a right triangle ?
anonymous
  • anonymous
1 and 2?
Nnesha
  • Nnesha
no
Nnesha
  • Nnesha
look at the drawing in which quadrant cos is negative ?
anonymous
  • anonymous
2,3,4
Nnesha
  • Nnesha
no that's not correct cos is negative in 2 quadrants
Nnesha
  • Nnesha
|dw:1438291982322:dw|
anonymous
  • anonymous
ohhhhh
Nnesha
  • Nnesha
so cos is negative in 2nd and 3rd quadrant
anonymous
  • anonymous
yup
anonymous
  • anonymous
the answer is negative square root 21 over 5!!!
Nnesha
  • Nnesha
now given is tan>0 so as you can tan is negative in 2nd quadrant but positive in 3rd so you should draw a right triangle in 3rd quadrant|dw:1438292353952:dw| if you look at jdoe's comment *soh cah tah * rule cos = adjacent over hypotenuse now apply Pythagorean theorem to find 3rd side of right triangle
anonymous
  • anonymous
ok
Nnesha
  • Nnesha
|dw:1438292606283:dw| sorry hypotenuse is 5 not the opposite side

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