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Solving: $\left(\sin\left(\frac{6}{7}\right)^{-1}+\cos\left(-\frac{3}{4}\right)^{-1}\right)\sin\left(\right)$
Solve instead: $sin\left(sin^{-1}\left(\frac{6}{7}\right)+cos^{-1}\left(-\frac{3}{4}\right)\right)$

Exercise

$sin\left(sin^{-1}\left(\frac{6}{7}\right)+cos^{-1}\left(-\frac{3}{4}\right)\right)$

Step-by-step Solution

1

Multiply the single term $\sin\left(\right)$ by each term of the polynomial $\left(\sin\left(\frac{6}{7}\right)^{-1}+\cos\left(-\frac{3}{4}\right)^{-1}\right)$

$\sin\left(\frac{6}{7}\right)^{-1}\sin\left(\right)+\cos\left(-\frac{3}{4}\right)^{-1}\sin\left(\right)$

Final answer to the exercise

$\sin\left(\frac{6}{7}\right)^{-1}\sin\left(\right)+\cos\left(-\frac{3}{4}\right)^{-1}\sin\left(\right)$

Try other ways to solve this exercise

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Main Topic: Simplify Trigonometric Expressions

Simplification of trigonometric expressions consists of rewriting an expression with trigonometric functions in a simpler form. To perform this task, we usually use the most common trigonometric identities, and some algebra.

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