SOLUTION: If secθ = -2 and sin θ > 0, find the exact value of the six trigonometric ratios. sin⁡θ = ? cosθ = ? tanθ = ? cscθ = ? secθ = ? co

Algebra ->  Pythagorean-theorem -> SOLUTION: If secθ = -2 and sin θ > 0, find the exact value of the six trigonometric ratios. sin⁡θ = ? cosθ = ? tanθ = ? cscθ = ? secθ = ? co      Log On


   

Question 1067306: If secθ = -2 and sin θ > 0, find the exact value of the six trigonometric ratios.
sin⁡θ = ?
cosθ = ?
tanθ = ?
cscθ = ?
secθ = ?
cotθ = ?
Thanks!!!
Found 2 solutions by Edwin McCravy, AnlytcPhil:
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
secant is negative in QII and QIII
sine is positive in QI and QII
So θ is in QII
Since SECANT=HYPOTENUSE%2F%28ADJACENT%29 and -2 = %28%22%22+%2B+2%29%2F%28-1%29
we draw a right triangle in QII which has hypotenuse = +2 and
adjacent side -1

By the Pythagorean theorem the opposite side is sqrt%283%29.
It's positive because it goes up from the x-axis


Edwin

Answer by AnlytcPhil(1806) About Me  (Show Source):
You can put this solution on YOUR website!
The answer is above