Bihar Police Constable Model Paper 4

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Question : 96 of 100

Marks: +1, -0

If

sinA + sin^2A

= 1 then what is the value of

cos^2A + cos^4A

?

0
1
-1
2

Solution:

Given:
sinA +

sin^2A

= 1
Formula used:

cos^2A

= 1 –

sin^2A

Calculation:
sinA +

sin^2A

= 1
⇒ sinA = 1 –

sin^2A

⇒ sinA =

cos^2A

⇒

sin^2A

=

cos^4A

cos^2A + cos^4A

= sinA +

sin^2A

cos^2A + cos^4A

= 1
∴

cos^2A + cos^4A

is 1

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