If cos A + cos²A = 1, then sin^2A + sin^4A is equal to
(a) –1
(6) 0
(c) 1
(d)none of these
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Answered by
2
Answer:
answer is 1
Step-by-step explanation:
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 Eq. (1)
(sin^2 A) + (sin^2 A)^2=1
sin^2 A + sin^4 A=1 [Proved]
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