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.Com
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)   (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 and -2 =
we draw a right triangle in QII which has hypotenuse = +2 and
adjacent side -1

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


Edwin

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

If secθ= 4/3 and θ terminates in Quadrant IV, find the exact values for all six (answered by lwsshak3)
The terminal side of an angle passes through the given ordered pairs below. For each... (answered by KMST)
If cos θ = -0.6 and sin θ > 0, find the exact value of tan θ + sin... (answered by Alan3354)
Find the exact value of each of the remaining trigonometric functions of θ. cos... (answered by lwsshak3)
Find the exact values of sin 2θ, cos 2θ, and tan 2θ for the given value of (answered by brysca)
Find the exact value of each of the remaining trigonometric functions of θ.... (answered by lwsshak3)
Find the values of the trigonometric functions of θ if csc θ = 13/9 and... (answered by Alan3354,ewatrrr)
Find the exact values of sinθ, cosθ, tanθ if θ=-9π/4. (answered by solver91311)
Find the exact values of cosθ, and tanθ given sinθ=-(sqrt3)/2 and... (answered by stanbon)