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Rebecca Villa 2022-07-09 Answered
We have the expression 13 sin [ tan 1 ( 12 5 ) ].
Apparently the answer is 12, and I have to simplify it, and I'm assuming it means I have to show it's 12, without using a calculator.
Normally I show my own work in the questions, but in this case I have absolutely no clue how to. The only thing I know that might help is that tan ( x ) = sin ( x ) cos ( x )
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Answers (2)

Sanaa Hinton
Answered 2022-07-10 Author has 15 answers
There is a right triangle with side lengths 5, 12 and 13. Draw this triangle, and choose one of the two non-right angles t for which
tan t = 12 5
Recall that the tangent is the opposite side over the adjacent side.
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Ximena Skinner
Answered 2022-07-11 Author has 7 answers
Let tan 1 12 5 = θ
( i ) tan θ = 12 5
and ( i i ) π 2 θ π 2
cos θ 0
cos θ = 1 sec θ = + 1 1 + tan 2 θ =
sin θ = tan θ cos θ =
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