Question

1 by sec a - 1 + 1 by sec a + 1 equal to 2 cosec a into cot a

Answer 1

(1/sec a + 1) + (1/sec a + 1) = 2*cosec a*cot a

= (sec a + 1 sec a - 1)/(sec^2 - 1)

= 2*sec a/tan^2 a

= (2-1/cos a)/(cos^2 a/sin^2 a)

= 2*cos a*1/sin^2 a

= 2*(cos a/sin a)*(1/sin a)

= 2*cot a*cosec a