Final answer to the problem
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
Learn how to solve trigonometric identities problems step by step online.
$\frac{\cos\left(a\right)-\sin\left(a\right)}{\cos\left(a\right)+\sin\left(a\right)}$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity (cos(a)-sin(a))/(cos(a)+sin(a))=sec(2a)-tan(2a). Starting from the left-hand side (LHS) of the identity. Multiply and divide the fraction \frac{\cos\left(a\right)-\sin\left(a\right)}{\cos\left(a\right)+\sin\left(a\right)} by the conjugate of it's denominator \cos\left(a\right)+\sin\left(a\right). Applying the pythagorean identity: \sin^2\left(\theta\right)+\cos^2\left(\theta\right)=1. Applying the trigonometric identity: \cos\left(\theta \right)^2-\sin\left(\theta \right)^2 = \cos\left(2\theta \right).
