SOLUTION: Someone please help me with this. Find the exact value of the expressions. Tan ( sin^-1 squart2/2) Sin( tan^-1(-squart3))

Algebra ->  Trigonometry-basics -> SOLUTION: Someone please help me with this. Find the exact value of the expressions. Tan ( sin^-1 squart2/2) Sin( tan^-1(-squart3))      Log On


   



Question 965015: Someone please help me with this. Find the exact value of the expressions.
Tan ( sin^-1 squart2/2)
Sin( tan^-1(-squart3))

Found 2 solutions by t0hierry, Alan3354:
Answer by t0hierry(194) About Me  (Show Source):
You can put this solution on YOUR website!
tangent of the angle whose sin is sqrt2/2
That angle is 45 degrees
tan 45 = 1
yes sin-1 (something) is inverse sin
I forgot the other one
sin of angle whose tangent is -sqrt(3)
that angle is -pi/3
whose sin is -sqrt(3)/2

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!

Sin( tan^-1(-squart3))
-------
tan%28120%29+=+-sqrt%283%29
sin%28120%29+=+sqrt%283%29%2F2
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And,
tan%28300%29+=+-sqrt%283%29
sin%28300%29+=+-sqrt%283%29%2F2