Prove the following that: tan^3θ/(1+tan^2θ)+cot^3θ/(1+cot^2θ)= secθcosecθ -2sinθcosθ

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Prove the following that:
tan^3θ/(1+tan^2θ)+cot^3θ/(1+cot^2θ)= secθcosecθ -2sinθcosθ

Mathematics(Standard) sample question paper solution|Section (C),QN 29

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Class X session 2022-23, Mathematics (Standard) sample question paper solution,
CBSE board class 10 session 2022-23, maths sample question paper class 10, maths Sample question paper 2022-23
Mathmatics (Standard) class 10 cbse session 2022-23
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Question 29 | Section C | Trigonometry | CBSE Class 10 2022-23 Sample Paper | Maths Standard

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If u break sin^3tetha into sin^2tetha and sintetha clculation will become much easier

alevelmathematics