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Prove the trigonometric identity $\left(1-\cos\left(x\right)^2\right)\sec\left(x\right)=\sin\left(x\right)\tan\left(x\right)$

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

$\left(1-\cos\left(x\right)^2\right)\sec\left(x\right)$

Learn how to solve trigonometric identities problems step by step online.

$\left(1-\cos\left(x\right)^2\right)\sec\left(x\right)$

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Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity (1-cos(x)^2)sec(x)=sin(x)tan(x). Starting from the left-hand side (LHS) of the identity. Apply the trigonometric identity: 1-\cos\left(\theta \right)^2=\sin\left(\theta \right)^2. Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}. Multiply the fraction and term.

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: Trigonometric Identities

In mathematics, trigonometric identities are equalities that involve trigonometric functions and are true for every single value of the occurring variables where both sides of the equality are defined.

Used Formulas

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