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 proving trigonometric identities problems step by step online.
$\sec\left(x\right)^4-\sec\left(x\right)^2$
Learn how to solve proving trigonometric identities problems step by step online. Prove the trigonometric identity sec(x)^4-sec(x)^2=tan(x)^2+tan(x)^4. Starting from the left-hand side (LHS) of the identity. Factor the polynomial \sec\left(x\right)^4-\sec\left(x\right)^2 by it's greatest common factor (GCF): \sec\left(x\right)^2. Apply the trigonometric identity: \sec\left(\theta \right)^2-1=\tan\left(\theta \right)^2. Applying the trigonometric identity: \sec\left(\theta \right)^2 = 1+\tan\left(\theta \right)^2.