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complete the identity cos (x-y)/sin x cos y =?
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\[\large \cos(x-y)=\cos(x)\cos(y)+\sin(x)\sin(y)\]\[\large \frac{\cos(x)\cos(y) +\sin(x)\sin(y)}{\sin(x)\cos(y)}= \frac{\cos(x)\cos(y)}{\sin(x)\cos(y)}+\frac{\sin(x)\sin(y)}{\sin(x)\cos(y)}\] simplify
cot x + tan y?
\[\large \frac{\cos(x)\cancel{\cos(y)}}{\sin(x)\cancel{\cos(y)}}+\frac{\cancel{\sin(x)}\sin(y)}{\cancel{\sin(x)}\cos(y)}\]\[\large \frac{\cos(x)}{\sin(x)}+\frac{\sin(y)}{\cos(y)} = \cot(x)+\tan(y)\]
Woo!good job Yeo:D
i just didn't know that you could separate that fraction cos(x)cos(y)+sin(x)sin(y)/sin(x)cos(y)
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Yeah. ofc :)
ok cool, thanks so much!
np:)
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