Question

CosA +cos sq.A =1 then sin sq. A+ sin to the power 4 A =?

Answer 1

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Answer 2

$\bf{Given}$:- Cos A + Cos ^2 A =1

$\bf{To \: find}$:- Sin^2 A + sin^4 A =?

$\bf{Answer}$:- 1

$\underline{\sf Step-by-step\: explanation}$

Cos A + Cos ^2 A =1

Cos A = 1-Cos^2 A

Cos A = Sin^2 A { As Sin^2 + Cos^2 A =1 , so 1-cos^2 A =Sin^2 A} ----(1)

$\underline{\bf{Now}}$

Cos A+ Cos^2 A = 1

Sin^2 A + (cos A)^2 =1

Sin^2 A +(Sin A)^2 A =1

Sin^2 A + Sin ^4 A =1


$\boxed{\sf Some\:identities}$


⏩ Sin^2 A + Cos^2 A =1


⏩1+Tan^2 A =Sec^2 A


⏩1+Cot^2 A = Cosec^2 A