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Prove the trigonometric identity $\sin\left(a\right)\tan\left(a\right)=\frac{1-\cos\left(a\right)^2}{\cos\left(a\right)}$

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Solution

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Final answer to the problem

true

Step-by-step Solution

How should I solve this problem?

  • Express everything into Sine and Cosine
  • Prove from LHS (left-hand side)
  • Prove from RHS (right-hand side)
  • Exact Differential Equation
  • Linear Differential Equation
  • Separable Differential Equation
  • Homogeneous Differential Equation
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Load more...
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I. Express the LHS in terms of sine and cosine and simplify

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Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity sin(a)tan(a)=(1-cos(a)^2)/cos(a). section:I. Express the LHS in terms of sine and cosine and simplify. Start from the LHS (left-hand side). Rewrite \tan\left(a\right) in terms of sine and cosine. Multiplying the fraction by \sin\left(a\right).

Final answer to the problem

true

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Prove the identity

$\sec x-\sin x\tan x=\cos x$

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.

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