Prove the trigonometric identity $15\cos\left(x\right)^2+16\sin\left(x\right)^2=15+\sin\left(x\right)^2$

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Final answer to the problem

true

Step-by-step Solution

How should I solve this problem?

  • Prove from LHS (left-hand side)
  • Prove from RHS (right-hand side)
  • Express everything into Sine and Cosine
  • Exact Differential Equation
  • Linear Differential Equation
  • Separable Differential Equation
  • Homogeneous Differential Equation
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
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Starting from the left-hand side (LHS) of the identity

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$15\cos\left(x\right)^2+16\sin\left(x\right)^2$

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Learn how to solve problems step by step online. Prove the trigonometric identity 15cos(x)^2+16sin(x)^2=15+sin(x)^2. Starting from the left-hand side (LHS) of the identity. Applying the pythagorean identity: \cos^2(\theta)=1-\sin(\theta)^2. Multiply the single term 15 by each term of the polynomial \left(1-\sin\left(x\right)^2\right). Simplifying.

Final answer to the problem

true

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