Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Prove from RHS (right-hand side)
- Prove from LHS (left-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 right-hand side (RHS) of the identity
Learn how to solve trigonometric integrals problems step by step online.
$\frac{\cos\left(x\right)-\sin\left(x\right)}{\sin\left(x\right)+\cos\left(x\right)}$
Learn how to solve trigonometric integrals problems step by step online. Prove the trigonometric identity sec(2x)-tan(2x)=(cos(x)-sin(x))/(sin(x)+cos(x)). Starting from the right-hand side (RHS) of the identity. Multiply and divide the fraction \frac{\cos\left(x\right)-\sin\left(x\right)}{\sin\left(x\right)+\cos\left(x\right)} by the conjugate of it's denominator \sin\left(x\right)+\cos\left(x\right). Applying the trigonometric identity: \sin\left(\theta \right)^2-\cos\left(\theta \right)^2 = -\cos\left(2\theta \right). Multiply the single term \sin\left(x\right)-\cos\left(x\right) by each term of the polynomial \left(\cos\left(x\right)-\sin\left(x\right)\right).