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Mathematics 15 Online
OpenStudy (anonymous):

complete the identity cos (x-y)/sin x cos y =?

OpenStudy (jhannybean):

\[\large \cos(x-y)=\cos(x)\cos(y)+\sin(x)\sin(y)\]\[\large \frac{\cos(x)\cos(y) +\sin(x)\sin(y)}{\sin(x)\cos(y)}= \frac{\cos(x)\cos(y)}{\sin(x)\cos(y)}+\frac{\sin(x)\sin(y)}{\sin(x)\cos(y)}\] simplify

OpenStudy (anonymous):

cot x + tan y?

OpenStudy (jhannybean):

\[\large \frac{\cos(x)\cancel{\cos(y)}}{\sin(x)\cancel{\cos(y)}}+\frac{\cancel{\sin(x)}\sin(y)}{\cancel{\sin(x)}\cos(y)}\]\[\large \frac{\cos(x)}{\sin(x)}+\frac{\sin(y)}{\cos(y)} = \cot(x)+\tan(y)\]

OpenStudy (jhannybean):

Woo!good job Yeo:D

OpenStudy (anonymous):

i just didn't know that you could separate that fraction cos(x)cos(y)+sin(x)sin(y)/sin(x)cos(y)

OpenStudy (jhannybean):

Yeah. ofc :)

OpenStudy (anonymous):

ok cool, thanks so much!

OpenStudy (jhannybean):

np:)

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