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Solving: sin⁡(u)(cos⁡(u)−1−tan⁡(v)−1)\sin\left(u\right)\left(\cos\left(u\right)^{-1}-\tan\left(v\right)^{-1}\right)
Solve instead: sin(cos−1u−tan−1v)sin\left(cos^{-1}u-tan^{-1}v\right)

Exercise

sin(cos−1u−tan−1v)sin\left(cos^{-1}u-tan^{-1}v\right)

Step-by-step Solution

1

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

cos⁡(u)−1sin⁡(u)−tan⁡(v)−1sin⁡(u)\cos\left(u\right)^{-1}\sin\left(u\right)-\tan\left(v\right)^{-1}\sin\left(u\right)

Final answer to the exercise

cos⁡(u)−1sin⁡(u)−tan⁡(v)−1sin⁡(u)\cos\left(u\right)^{-1}\sin\left(u\right)-\tan\left(v\right)^{-1}\sin\left(u\right)

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sin(cos−1u−tan−1v)
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