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.
$\tan\left(x\right)^2\cos\left(x\right)\csc\left(x\right)^2$
Learn how to solve proving trigonometric identities problems step by step online. Prove the trigonometric identity tan(x)^2cos(x)csc(x)^2=sec(x). Starting from the left-hand side (LHS) of the identity. Apply the trigonometric identity: \tan\left(\theta \right)^n=\frac{\sin\left(\theta \right)^n}{\cos\left(\theta \right)^n}, where n=2. Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}. Multiplying fractions \frac{\sin\left(x\right)^2}{\cos\left(x\right)^2} \times \frac{1}{\sin\left(x\right)^2}.