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 special products problems step by step online.
$\frac{\sin\left(x\right)+\cos\left(x\right)}{\tan\left(x\right)^2-1}$
Learn how to solve special products problems step by step online. Prove the trigonometric identity (sin(x)+cos(x))/(tan(x)^2-1)=(cos(x)^2)/(sin(x)-cos(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. Combine all terms into a single fraction with \cos\left(x\right)^2 as common denominator. Divide fractions \frac{\sin\left(x\right)+\cos\left(x\right)}{\frac{\sin\left(x\right)^2-\cos\left(x\right)^2}{\cos\left(x\right)^2}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}.
