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Prove the trigonometric identity $\frac{\sec\left(x\right)-1}{1-\cos\left(x\right)}=\sec\left(x\right)$

Step-by-step 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
  • Load more...
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Starting from the left-hand side (LHS) of the identity

$\frac{\sec\left(x\right)-1}{1-\cos\left(x\right)}$

Learn how to solve differential equations problems step by step online.

$\frac{\sec\left(x\right)-1}{1-\cos\left(x\right)}$

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Learn how to solve differential equations problems step by step online. Prove the trigonometric identity (sec(x)-1)/(1-cos(x))=sec(x). Starting from the left-hand side (LHS) of the identity. Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}. Combine all terms into a single fraction with \cos\left(x\right) as common denominator. Simplify the fraction \frac{\frac{1-\cos\left(x\right)}{\cos\left(x\right)}}{1-\cos\left(x\right)} by 1-\cos\left(x\right).

Final answer to the problem

true

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Function Plot

Plotting: $true$

Main Topic: Differential Equations

A differential equation is a mathematical equation that relates some function with its derivatives.

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