Question

(sin x +cosec x)^2 + (cos x +sec x) ^2 = tan^2 x + cot^2 x + 7

Answer 1

hii folk!!!

(Sinx+cosec)^2+(cosx+sex)^2

=)Sin^2x+cosecx^2x+2sinx*cosecx+cos^2x+sec^2x+2cosx*secx

=)sin^2+2sinx*1/sinx+cos^2x+sec^2x+2*cosx*1/cosx

=)sin^2x+cos^x+sec^2x+cosec^2x+2+2

=)1+4+(1+tan^2x)+(1+cot^2x)

=)5+1+1+tan^2x+cot^2x

=)7+tan^2x+cot^2x.....Rhs prooved ..

hope it help ....

thanks. for a nice question .

@rajukumar111☺।।

Answer 2

Plz see attachment for the solution