Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Prove from RHS (right-hand side)
- Prove from LHS (left-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...
Starting from the right-hand side (RHS) of the identity
Factor the difference of squares $\tan\left(x\right)^2-1$ as the product of two conjugated binomials
Learn how to solve trigonometric identities problems step by step online.
$\frac{\tan\left(x\right)^2-1}{\tan\left(x\right)^2+1}$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity sin(x)^2-cos(x)^2=(tan(x)^2-1)/(tan(x)^2+1). Starting from the right-hand side (RHS) of the identity. Factor the difference of squares \tan\left(x\right)^2-1 as the product of two conjugated binomials. Applying the trigonometric identity: 1+\tan\left(\theta \right)^2 = \sec\left(\theta \right)^2. Solve the product of difference of squares \left(\tan\left(x\right)+1\right)\left(\tan\left(x\right)-1\right).