Question

(SinA +secA )^2+(cosA+cosecA)^2-(1-cosecA.secA)^2

Answer 1

Answer:

( 1 + Sec A. Cosec A) ^2

Step-by-step explanation:

= [ sin A + 1 / cos A ]^2 + [ cos A + 1 / sin A ]^2

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

+ 1 /sin A + 2 cos A / sin A

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

+ 2 [ sin^2 A + cos^2 A / sin^2 A

sin^2 A cos^2 A

+ 2 / sin A cos A

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

= [ 1 + 1 / sin A cos A ] ^2

= ( 1 + sec A. cosec A ) ^2