Question

. Prove the following trigonometric identi
11. (1 - cos? A) cosec? A = 1​

Answer 1

Answer:

$(1-cos^{2}A)cosec^{2}A= 1$

Step-by-step explanation:

$LHS=(1-cos^{2}A)cosec^{2}A\\=sin^{2}A\times cosec^{2}A$

/* 1-cos²A = sin²A */

$= sin^{2}A \times \frac{1}{sin^{2}A}\\=1\\=RHS$

Therefore,

$(1-cos^{2}A)cosec^{2}A= 1$

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