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.
$\frac{\sin\left(3x\right)}{\sin\left(x\right)\cos\left(x\right)}$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity sin(3x)/(sin(x)cos(x))=4cos(x)-sec(x). Starting from the left-hand side (LHS) of the identity. Simplify \frac{\sin\left(3x\right)}{\sin\left(x\right)\cos\left(x\right)} into \frac{2\cos\left(2x\right)+1}{\cos\left(x\right)}. Apply the trigonometric identity: \cos\left(2\theta \right)=2\cos\left(\theta \right)^2-1. Multiply the single term 2 by each term of the polynomial \left(2\cos\left(x\right)^2-1\right).