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Solving: tan⁡(x)(sin⁡(x)−1+cos⁡(x)−1)\tan\left(x\right)\left(\sin\left(x\right)^{-1}+\cos\left(x\right)^{-1}\right)
Solve instead: tan(sin−1(x)+cos−1(x))tan\left(sin^{-1}\left(x\right)+cos^{-1}\left(x\right)\right)
f(x)=tan(x)(sin(x)^(-1)+cos(x)^(-1))−6−5−4−3−2−10123456−3-2.5−2-1.5−1-0.500.511.522.53xy

Exercise

tan(sin−1(x)+cos−1(x))tan\left(sin^{-1}\left(x\right)+cos^{-1}\left(x\right)\right)

Step-by-step Solution

1

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

sin⁡(x)−1tan⁡(x)+cos⁡(x)−1tan⁡(x)\sin\left(x\right)^{-1}\tan\left(x\right)+\cos\left(x\right)^{-1}\tan\left(x\right)

Final answer to the exercise

sin⁡(x)−1tan⁡(x)+cos⁡(x)−1tan⁡(x)\sin\left(x\right)^{-1}\tan\left(x\right)+\cos\left(x\right)^{-1}\tan\left(x\right)

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tan(sin−1(x)+cos−1(x))
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