SOLUTION: Find the exact value of sec[sin^-1(-3/4)]

Algebra ->  Trigonometry-basics -> SOLUTION: Find the exact value of sec[sin^-1(-3/4)]      Log On


   



Question 502198: Find the exact value of sec[sin^-1(-3/4)]
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find the exact value of sec[sin^-1(-3/4)]
**
sin^-1(-3/4)=sin inverse
Given problem asks to find the sec of an angle whose sine is (-3/4) in quadrant IV
The cos of this same angle is then=4/5 (working with a 3-4-5 right triangle in quad IV)
sec[sin^-1(-3/4)]=1/cos=5/4