Final Answer
Step-by-step Solution
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Starting from the right-hand side (RHS) of the identity
Combine fractions with different denominator using the formula: $\displaystyle\frac{a}{b}+\frac{c}{d}=\frac{a\cdot d + b\cdot c}{b\cdot d}$
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$\frac{1}{1-\cos\left(y\right)}+\frac{1}{1+\cos\left(y\right)}$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity 2csc(y)^2=1/(1-cos(y))+1/(1+cos(y)). Starting from the right-hand side (RHS) of the identity. Combine fractions with different denominator using the formula: \displaystyle\frac{a}{b}+\frac{c}{d}=\frac{a\cdot d + b\cdot c}{b\cdot d}. Solve the product of difference of squares \left(1-\cos\left(y\right)\right)\left(1+\cos\left(y\right)\right). Apply the trigonometric identity: 1-\cos\left(\theta \right)^2=\sin\left(\theta \right)^2, where x=y.