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.
$\sec\left(a\right)^2+\csc\left(a\right)^2$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity sec(a)^2+csc(a)^2=sec(a)^2csc(a)^2. Starting from the left-hand side (LHS) of the identity. Rewrite \sec\left(a\right)^2+\csc\left(a\right)^2 as \left(\tan\left(a\right)+\cot\left(a\right)\right)^2 by applying trigonometric identities. Rewrite \tan\left(a\right)+\cot\left(a\right) in terms of sine an cosine. The reciprocal sine function is cosecant: \frac{1}{\sin(x)}=\csc(x).