SOLUTION: How many solutions does cosecant squared of x = 25 have? How do you find it?

Algebra ->  Algebra  -> Trigonometry-basics -> SOLUTION: How many solutions does cosecant squared of x = 25 have? How do you find it?      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 141210: How many solutions does cosecant squared of x = 25 have? How do you find it?
Answer by stanbon(48558) About Me  (Show Source):
You can put this solution on YOUR website!
How many solutions does cosecant squared of x = 25 have? How do you find it?
------------------
If cscx = 25, sinx = 1/25 or 0.25
x = sin^-1 0.25 = 14.48 degrees or x = 180-14.48 = 165.52 degrees
--------
All the angles:
x = 14.48 + 360n where n= 0,1,2,3,,,,
x = 165.52 + 360n where n= 0,1,2,3,,,,
======================================
Cheers,
Stan H.