Maharashtra State Board course SSC (English Medium) Class 10th Board Exam
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Prove the Following. Cot2θ – Tan2θ = Cosec2θ – Sec2θ - Geometry

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Question

Prove the following.
cot2θ – tan2θ = cosec2θ – sec2θ

Solution

\[\cot^2 \theta - \tan^2 \theta\]

\[ = \left( {cosec}^2 \theta - 1 \right) - \left( \sec^2 \theta - 1 \right) \left( 1 + \tan^2 \theta = \sec^2 \theta   \& 1 + \cot^2 \theta = {cosec}^2 \theta \right)\]

\[ = {cosec}^2 \theta - 1 - \sec^2 \theta + 1\]

\[ = {cosec}^2 \theta - \sec^2 \theta\]

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APPEARS IN

 Balbharati Solution for Balbharati Class 10 Mathematics 2 Geometry (2018 to Current)
Chapter 6: Trigonometry
Problem set 6 | Q: 5.04 | Page no. 138
Solution Prove the Following. Cot2θ – Tan2θ = Cosec2θ – Sec2θ Concept: Application of Trigonometry.
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