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.
$\frac{\sec\left(u\right)^2-1}{\sec\left(u\right)^2}$
Learn how to solve proving trigonometric identities problems step by step online. Prove the trigonometric identity (sec(u)^2-1)/(sec(u)^2)=sin(u)^2. Starting from the left-hand side (LHS) of the identity. Expand the fraction \frac{\sec\left(u\right)^2-1}{\sec\left(u\right)^2} into 2 simpler fractions with common denominator \sec\left(u\right)^2. Simplify the resulting fractions. Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}.