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please help what's the exact value for x?

cos(x+pi)-sin(x-pi)=0
SHOW WORK PLEASE​

Sagot :

Trancescient

Step-by-step explanation:

Recall that

[tex] \cos(x + \pi) = \cos x \cos\pi - \sin x \sin\pi[/tex]

and

[tex] \sin(x - \pi) = \sin x \cos \pi - \cos x \sin \pi[/tex]

But we also know that

[tex] \cos \pi = - 1 \\ \sin \pi = 0 \: \: \: \: [/tex]

so the above relations reduce to

[tex] \cos(x + \pi) = - \cos x \\ \sin(x - \pi) = - \sin x [/tex]

Therefore,

[tex] \cos(x + \pi) - \sin(x - \pi) = - \cos x + \sin x [/tex]

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