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Prove the trigonometric identity $\cos\left(x\right)\sec\left(x\right)+\sin\left(-x\right)\csc\left(x\right)=0$

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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?

  • 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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Start by simplifying the left side of the identity: $\cos\left(x\right)\sec\left(x\right)+\sin\left(-x\right)\csc\left(x\right)$

$\cos\left(x\right)\sec\left(x\right)-\sin\left(x\right)\csc\left(x\right)=0$

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

$\cos\left(x\right)\sec\left(x\right)-\sin\left(x\right)\csc\left(x\right)=0$

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Learn how to solve proving trigonometric identities problems step by step online. Prove the trigonometric identity cos(x)sec(x)+sin(-x)csc(x)=0. Start by simplifying the left side of the identity: \cos\left(x\right)\sec\left(x\right)+\sin\left(-x\right)\csc\left(x\right). Starting from the left-hand side (LHS) of the identity. Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}. Multiplying the fraction by \sin\left(x\right).

Final answer to the problem

true

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Similar Problems Solved

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Main Topic: Proving Trigonometric Identities

To prove a trigonometric identity, you have to show that one side of the equation can be transformed into the other side.

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