Question

prove that 1/1+cos^2 A + 1/1+sec^2 A= 1

Answer 1

Step-by-step explanation:

change sec square A into cos square A

take Lcm

then solve it

Answer 2

Step-by-step explanation:

$\frac{1}{1+cos^{2}A } + \frac{1}{1+sec^{2} A}$

$\frac{1}{sin^{2}A } +$ $1/1 +\frac{1}{cos^{2} A}$

$\frac{1}{sin^{2}A } +$  $1/\frac{cos^{2}A+1 }{cos^{2} }$

$\frac{1}{sin^{2}A } +$ $1/\frac{sin²}{cos²}$

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

$\frac{sin^{2} }{sin^{2} }$ = 1

Hence proved