Final Answer
Step-by-step Solution
Specify the solving method
Starting from the right-hand side (RHS) of the identity
Multiply and divide the fraction $\frac{\sin\left(w\right)}{1-\cos\left(w\right)}$ by the conjugate of it's denominator $1-\cos\left(w\right)$
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$\frac{\sin\left(w\right)}{1-\cos\left(w\right)}$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity (1+cos(w))/sin(w)=sin(w)/(1-cos(w)). Starting from the right-hand side (RHS) of the identity. Multiply and divide the fraction \frac{\sin\left(w\right)}{1-\cos\left(w\right)} by the conjugate of it's denominator 1-\cos\left(w\right). Multiplying fractions \frac{\sin\left(w\right)}{1-\cos\left(w\right)} \times \frac{1+\cos\left(w\right)}{1+\cos\left(w\right)}. The sum of two terms multiplied by their difference is equal to the square of the first term minus the square of the second term. In other words: (a+b)(a-b)=a^2-b^2..