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

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

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

Learn how to solve integrals involving logarithmic functions problems step by step online.

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

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Learn how to solve integrals involving logarithmic functions problems step by step online. Prove the trigonometric identity sec(x)-sec(x)sin(x)^2=cos(x). Starting from the left-hand side (LHS) of the identity. Factor the polynomial \sec\left(x\right)-\sec\left(x\right)\sin\left(x\right)^2 by it's greatest common factor (GCF): \sec\left(x\right). Apply the trigonometric identity: 1-\sin\left(\theta \right)^2=\cos\left(\theta \right)^2. Simplify \sec\left(x\right)\cos\left(x\right)^2.

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: Integrals involving Logarithmic Functions

They are those integrals where the function that we are integrating is composed only of combinations of logarithmic functions.

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