SOLUTION: θ=157.5° Use a half-angle identity to find the exact value of sin(θ).

Algebra ->  Trigonometry-basics -> SOLUTION: θ=157.5° Use a half-angle identity to find the exact value of sin(θ).      Log On


   

Question 849135: θ=157.5° Use a half-angle identity to find the exact value of sin(θ).
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
θ=157.5° Use a half-angle identity to find the exact value of sin(θ).
--------
sin(157.5) = sin(315/2) = sqrt[(1-cos(315)/2] = sqrt[(1-(sqrt(2)/2))/2]
----
= sqrt[(2-sqrt(2))/4]
------
= sqrt[2-sqrt(2)]/2
======================
Chers,
Stan H.
======================