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Zelda Heidenreich

Lvl 10
3y ago
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12y ago

What do you mean sin squared times x?

sin ^2 x means one and only one thing, (sin x) ^2

same as sin ^ n x = (sin x) ^n and cos ^n x = (cos x)^n

you need to know (and why):

sin ^2 x + cos ^2 x = 1

cos 2x = 1 - 2sin ^2 x (= cos ^2 x - sin ^2 x)

so sin ^2 x + cos (2x) - cos x = sin ^2 x + 1 - 2 sin ^2 x - cos x = 1 - sin ^2 x - cos x = cos ^2 x - cos x = cos x(cos x - 1)

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Q: How do you factor sin squared times x plus cos2x -cosx equals 0?
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