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.
$\sec\left(x\right)^4-\tan\left(x\right)^4$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity sec(x)^4-tan(x)^4=1+2tan(x)^2. Starting from the left-hand side (LHS) of the identity. Factor the difference of squares \sec\left(x\right)^4-\tan\left(x\right)^4 as the product of two conjugated binomials. Simplify by applying the identity: \sec\left(\theta \right)^2-\tan\left(\theta \right)^2 = 1. Applying the trigonometric identity: \sec\left(\theta \right)^2 = 1+\tan\left(\theta \right)^2.