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Solving: $\sin\left(u\right)\left(\cos\left(u\right)^{-1}+\sin\left(v\right)^{-1}\right)$
Solve instead: $sin\left(cos^{-1}u+sin^{-1}v\right)$

Exercise

$sin\left(cos^{-1}u+sin^{-1}v\right)$

Step-by-step Solution

1

Multiply the single term $\sin\left(u\right)$ by each term of the polynomial $\left(\cos\left(u\right)^{-1}+\sin\left(v\right)^{-1}\right)$

$\cos\left(u\right)^{-1}\sin\left(u\right)+\sin\left(v\right)^{-1}\sin\left(u\right)$

Final answer to the exercise

$\cos\left(u\right)^{-1}\sin\left(u\right)+\sin\left(v\right)^{-1}\sin\left(u\right)$

Try other ways to solve this exercise

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  • Product of Binomials with Common Term
  • FOIL Method
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  • Find the derivative
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  • Integrate by partial fractions
  • Integrate by substitution
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  • Integrate using tabular integration
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Similar Questions Solved

$\left(\sin\left(x\right)+\cos\left(x\right)\right)^2$

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$tan\left(x\right)csc\left(x\right)$

$\tan\left(x\right)\csc\left(x\right)$

$\frac{2+\tan^2\left(x\right)}{\sec^2\left(x\right)}-1$

$csc^2x-1$

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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