Prove that:(sinr + cosec), (cosx + secr)2 = tan2x + coex + 7Solve any

1.	Prove that:(sinr + cosec), (cosx + secr)2 = tan2x + coex + 7Solve any One03
Answer» (Sinx+cosec)^2+(cosx+sex)^2 =)Sin^2x+cosecx^2x+2sinxcosecx+cos^2x+sec^2x+2cosxsecx =)sin^2+2sinx1/sinx+cos^2x+sec^2x+2cosx*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. Please hit a like if you find it useful

Prove that:(sinr + cosec), (cosx + secr)2 = tan2x + coex + 7Solve any One03

Answer»

(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.

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