Question

prove this...........


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Answer 1

Step-by-step explanation:

hope it's help you my dear

Answer 2

Questions

$prove \: that \: \: \cot ^{2} a \: - \frac{1}{ \sin ^{2} a} = \: - 1$

steps of explanation:

HERE WE TAKE L.H.S →

$\cot ^{2} a \: - \frac{1}{ \sin ^{2} a }$

$\frac{ \cos ^{2} a}{ \sin ^{2}a } - \frac{1}{ \sin ^{2} a }$

$\frac{cos ^{2}a - 1}{ \sin ^{2}a }$

BY THE IDENTITY → cos^2A + sin^2A = 1

• WE GET→ cos^2 A - 1 = -sin^2A

so..

$\frac{- \sin^{2} a \: }{ \sin ^{2} a}$

= -1 = R.H.S

--- hence proved ---

ANSWER:

L.H.S = R.H.S