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Prove the trigonometric identity $\sin\left(x\right)\left(\cot\left(x\right)+\tan\left(x\right)\right)=\sec\left(x\right)$

Step-by-step Solution

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Final Answer

true

Step-by-step Solution

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Starting from the left-hand side (LHS) of the identity

$\sin\left(x\right)\left(\cot\left(x\right)+\tan\left(x\right)\right)$

Learn how to solve integral calculus problems step by step online.

$\sin\left(x\right)\left(\cot\left(x\right)+\tan\left(x\right)\right)$

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Learn how to solve integral calculus problems step by step online. Prove the trigonometric identity sin(x)(cot(x)+tan(x))=sec(x). Starting from the left-hand side (LHS) of the identity. Rewrite \cot\left(x\right)+\tan\left(x\right) in terms of sine an cosine. Multiply the fraction and term. Simplify the fraction \frac{\sin\left(x\right)}{\sin\left(x\right)\cos\left(x\right)} by \sin\left(x\right).

Final Answer

true

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Prove from RHS (right-hand side)Express everything into Sine and Cosine

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Function Plot

Plotting: $true$

Main Topic: Integral Calculus

Integration assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.

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