Question

plz do that sum..... guys ​

Answer 1

Answer:

${cos}^{2} a + \frac{1}{1 + {cot}^{2}a }$

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

$cos {}^{2} a + \frac{sin {}^{2}a }{cos {}^{2}a + sin {}^{2}a }$

$cos {}^{2} a + sin {}^{2} a$

$= 1$

[as, cotA=cosA/sinA]

[∵ cos²A+sin²A=1]

Answer 2

Answer:

since 1+ cot^2A = cosec^2A

=cos^2A +1/cosec^2A

since cosec^2A = 1/ sin^2 A

=cos^2 A + sin^2 A

=1

= RHS

H.P.

HOPE IT WILL HELP YOU