Question

if cosA+cos²A=1 then show that sin²A+sin⁴A=1​

Answer 1

Answer:

cos A+cos^2 A=1 ▬▬▬▬(1)

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cos A =1-cos^2 A

[sin^2 A=1- cos^2 A]

cos A= sin^2 A ----(2)

Substitute value of cos A in Eqn. (1)

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

sin^2 A + sin^4 A=1 [Proved]