The Maximum Value Of `Sin^4X + Cos^4X ` Is

     
How would I solve this inequality.I have tried solving it from LHS, by making all the terms = sinxI have got 4(1-2dulichnangdanang.coms(^2)x +2dulichnangdanang.coms(^4)x)I have now tried using algebraic division to find out what x equals. But I think this is wrongAny suggestions và help will be appreciated
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How would I solve this inequality. I have tried solving it from LHS, by making all the terms = sinx I have got 4(1-2dulichnangdanang.coms(^2)x +2dulichnangdanang.coms(^4)x) I have now tried using algebraic division to lớn find out what x equals. But I think this is wrong Any suggestions and help will be appreciated
This isn't an inequality. It's an identity. You're not meant lớn be finding x. You're meant to show it holds for all x. Can you see how to? Just use double angle identities a few times.

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This isn't an inequality. It's an identity. You're not meant to be finding x. You're meant to show it holds for all x. Can you see how to? Just use double angle identities a few times.

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i would start on the left...sin4x can be written as sin2xsin2xand sin2x can be written as 0.5 1 - dulichnangdanang.coms2x

i would start on the left...sin4x can be written as sin2xsin2xand sin2x can be written as 0.5 1 - dulichnangdanang.coms2x

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