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
Combine all terms into a single fraction with $1+\sin\left(x\right)$ as common denominator
Learn how to solve trigonometric identities problems step by step online.
$1+\frac{-\cos\left(x\right)^2}{1+\sin\left(x\right)}$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity 1+(-cos(x)^2)/(1+sin(x))=sin(x). Starting from the left-hand side (LHS) of the identity. Combine all terms into a single fraction with 1+\sin\left(x\right) as common denominator. Apply the trigonometric identity: 1-\cos\left(\theta \right)^2=\sin\left(\theta \right)^2. Factor the polynomial \sin\left(x\right)^2+\sin\left(x\right) by it's greatest common factor (GCF): \sin\left(x\right).