Hey i need help finding exact values for 2 problems

1) sin[2sin^-1(1/2)]

2) sec[tan^-1(1/2)]

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- Sep 2nd 2008, 03:01 PMDjamaalRobinsonExact Values
Hey i need help finding exact values for 2 problems

1) sin[2sin^-1(1/2)]

2) sec[tan^-1(1/2)] - Sep 2nd 2008, 03:32 PMThePerfectHacker
- Sep 2nd 2008, 03:42 PMChris L T521
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! (Sun)

--Chris - Sep 2nd 2008, 03:48 PMThePerfectHacker