Question
Prove the following.
cot2θ – tan2θ = cosec2θ – sec2θ
Solution
\[\cot^2 \theta - \tan^2 \theta\]
\[ = \left( {cosec}^2 \theta - 1 \right) - \left( \sec^2 \theta - 1 \right) \left( 1 + \tan^2 \theta = \sec^2 \theta \& 1 + \cot^2 \theta = {cosec}^2 \theta \right)\]
\[ = {cosec}^2 \theta - 1 - \sec^2 \theta + 1\]
\[ = {cosec}^2 \theta - \sec^2 \theta\]
Is there an error in this question or solution?
Solution Prove the Following. Cot2θ – Tan2θ = Cosec2θ – Sec2θ Concept: Application of Trigonometry.
