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.
$\frac{\sin\left(x\right)^2-\cos\left(x\right)^2}{\sin\left(x\right)\cos\left(x\right)+\cos\left(x\right)^2}$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity (sin(x)^2-cos(x)^2)/(sin(x)cos(x)+cos(x)^2)=tan(x)-1. Starting from the left-hand side (LHS) of the identity. Factor the polynomial \sin\left(x\right)\cos\left(x\right)+\cos\left(x\right)^2 by it's greatest common factor (GCF): \cos\left(x\right). Factor the difference of squares \sin\left(x\right)^2-\cos\left(x\right)^2 as the product of two conjugated binomials. Simplify the fraction \frac{\left(\sin\left(x\right)+\cos\left(x\right)\right)\left(\sin\left(x\right)-\cos\left(x\right)\right)}{\cos\left(x\right)\left(\sin\left(x\right)+\cos\left(x\right)\right)} by \sin\left(x\right)+\cos\left(x\right).
