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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$\cos\left(2x\right)+\sin\left(x\right)^2$
Learn how to solve problems step by step online. Prove the trigonometric identity cos(2x)+sin(x)^2=1/(sec(x)^2). Starting from the left-hand side (LHS) of the identity. Applying an identity of double-angle cosine: \cos\left(2\theta\right)=1-2\sin\left(\theta\right)^2. Combining like terms -2\sin\left(x\right)^2 and \sin\left(x\right)^2. Apply the trigonometric identity: 1-\sin\left(\theta \right)^2=\cos\left(\theta \right)^2.