SOLUTION: Can someone please help me with this problem? . Evaluate the indicated function. . Find the value of sin (&#945;/2) if cos &#945; = 20/21 and (0DEG < &#945; < 90DEG). . sin(

Algebra ->  Trigonometry-basics -> SOLUTION: Can someone please help me with this problem? . Evaluate the indicated function. . Find the value of sin (&#945;/2) if cos &#945; = 20/21 and (0DEG < &#945; < 90DEG). . sin(      Log On


   



Question 643072: Can someone please help me with this problem?
.
Evaluate the indicated function.
.
Find the value of sin (α/2) if cos α = 20/21 and (0DEG < α < 90DEG).
.
sin(α/2)= __?__
Thanks!

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find the value of sin (α/2) if cos α = 20/21 and (0DEG < α < 90DEG)
Identity: sin (α/2)=√[(1-cos α)/2]
=√[(1-20/21)/2]
=√[(21/21-20/21)/2]
=√[(1/21)/2]
=√(1/42)
sin(α/2)=√(1/42)