Question

Prove, Cosec2A + cot2A = cotA​

Answer 1

Proved

Step-by-step explanation:

Cosec2A + cot2A = cotA​

On Left hand-side

$Cosec2A + cot2A = \frac{1}{sin2A} +\frac{cos2A}{sin2A}$

$=\frac{1}{2sinAcosA} +\frac{2cos^2A-1}{2sinAcosA}$

$\frac{1+2cos^2A-1}{2sinAcosA} \\\\\\=\frac{2cos^22A}{2sinAcosA} \\\\=\frac{cosA}{sinA} \\\\\\=cotA$

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Trigonometric ratios: brainly.com/question/12462203

Keywords: Trigonometeric

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