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
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$\cos\left(t\right)\left(\tan\left(t\right)^2+1\right)$
Learn how to solve problems step by step online. Prove the trigonometric identity cos(t)(tan(t)^2+1)=sec(t). Starting from the left-hand side (LHS) of the identity. Applying the trigonometric identity: 1+\tan\left(\theta \right)^2 = \sec\left(\theta \right)^2. Apply the trigonometric identity: \cos\left(\theta \right)\sec\left(\theta \right)^n=\sec\left(\theta \right)^{\left(n-1\right)}, where x=t and n=2. Any expression to the power of 1 is equal to that same expression.