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.
$\frac{\sin\left(x\right)^3+\sin\left(x\right)\cos\left(x\right)^2}{\cos\left(x\right)}$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity (sin(x)^3+sin(x)cos(x)^2)/cos(x)=tan(x). Starting from the left-hand side (LHS) of the identity. Factor the polynomial \sin\left(x\right)^3+\sin\left(x\right)\cos\left(x\right)^2 by it's greatest common factor (GCF): \sin\left(x\right). Applying the pythagorean identity: \sin^2\left(\theta\right)+\cos^2\left(\theta\right)=1. Apply the trigonometric identity: \frac{\sin\left(\theta \right)}{\cos\left(\theta \right)}=\tan\left(\theta \right).
