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Exercise

$\left(\tan\left(x\right)-\sin\left(x\right)\right)^2$

Step-by-step Solution

1

Apply the formula: $\left(a+b\right)^2$$=a^2+2ab+b^2$, where $a=\tan\left(x\right)$, $b=-\sin\left(x\right)$ and $a+b=\tan\left(x\right)-\sin\left(x\right)$

$\tan\left(x\right)^2-2\tan\left(x\right)\sin\left(x\right)+\sin\left(x\right)^2$

Final answer to the exercise

$\tan\left(x\right)^2-2\tan\left(x\right)\sin\left(x\right)+\sin\left(x\right)^2$

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