Question

Prove that (1+cos²A)sin²A =1

Answer 1

Answer:

Step-by-step explanation:

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Need to prove :(1+cos²A) sin²A = 1

1+cos²A (sin²A)

= (1+cos²A)(1-cos²A)

= (1+cos²A)(1)

= 1+cos²A ≠ 1

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Answer 2

Answer:

cos A+cos^2 A=1 ————(1)

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]