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Which expression is equal to the example?

Which expression is equal to the example?-example-1
User Mmed
by
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1 Answer

5 votes


1-(cosx)^4 value is
2sin^4-sin^4x . Correct option is D)
2sin^4-sin^4x .

Explanation:

Here we have , expression to evaluate:


1-(cosx)^4


1-((cosx)^2)^2


1-(1-(sinx)^2)^2

We know that ,
sin^2x = 1-cos^2x , putting value in equation
1-(1-(sinx)^2)^2


1-(1+sin^4x-2sin^4)


1-1-sin^4x+2sin^4


-sin^4x+2sin^4


2sin^4-sin^4x

Therefore ,
1-(cosx)^4 value is
2sin^4-sin^4x . Correct option is D)
2sin^4-sin^4x

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