SOLUTION: find the exact value of each expression. 35) sec(inverse sin 5/13 minus inverse tan 3/4) inverse sin means sin^-1 inverse tan means tan^-1

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Question 709526: find the exact value of each expression.
35) sec(inverse sin 5/13 minus inverse tan 3/4)

inverse sin means sin^-1
inverse tan means tan^-1
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
find the exact value of each expression.
35) sec(inverse sin 5/13 minus inverse tan 3/4)
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Since the inverses are not special angles, you can only get approximate angles using a calculator.
Using calculator set to radians:
sin^-1(5/13)≈0.3948 radians
tan^-1(3/4)≈0.6435 radians
sin^-1(5/13)-tan^-1(3/4)
0.3948-0.6435≈-0.2487 radians
cos(0.2487)≈0.9692
sec(0.2487)≈1.0317 (reciprocal of cos)