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Prove the following: 1-cos2θ1+cos2θ = tan2θ - Mathematics and Statistics

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Question

Prove the following:

`(1 - cos2theta)/(1 + cos2theta)` = tan2θ

Sum

Solution

L.H.S. = `(1 - cos2theta)/(1 + cos2theta)`

= `(2sin^2theta)/(2cos^2theta)`

= tan2θ

= R.H.S.

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Trigonometric Functions of Double Angles
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Chapter 3: Trigonometry - 2 - Exercise 3.3 [Page 48]
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