Prove that: Tan theta-cot theta is equal to 2sin²theta-1 divide sin theta× cos theta
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Step-by-step explanation:
tan A – cot A
= (sin A / cos A) – (cos A / sin A)
= (sin²A – cos²A) / sinA×cosA
From sin²A+cos²A=1, We got, –cos²A = sin²A–1
= (sin²A + sin²A – 1) / sinA×cosA
= (2sin²A – 1) / sin A × cos A (proved)
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