Hey i need help finding exact values for 2 problems
1) sin[2sin^-1(1/2)]
2) sec[tan^-1(1/2)]
1)
Depending on the restriction on , we see that
Thus, we can either have , or
2)
Construct a triangle to represent the angle
This implies that we have an opposite of length 1, and an adjacent of length 2. Thus, the length of the hypoteuse can be found by applyin the pythagorean forumla:
Thus,
I hope this makes sense!
--Chris