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Mathematics 16 Online
OpenStudy (jojokiw3):

Help with Trig please!

OpenStudy (jojokiw3):

I already did part of the question, just stuck at the last bit. \[\frac{ \sqrt{3} }{ 2 } - \frac{ 1 }{ \sqrt{2} } - \cot \frac{ 9\pi }{ 2 }\] How do I convert cot 9pi/2?

OpenStudy (anonymous):

cot = 1/tan

OpenStudy (anonymous):

1/tan(9pi/2)

OpenStudy (jojokiw3):

Yeah, but like. 9pi/2 = 810 degrees, wihch also means 90 degrees, and the tan of 90 degrees is something like 1.6331239e+16.

OpenStudy (anonymous):

yes it is 90 deg. do you know what cos 90 and sin 90 are?

OpenStudy (jojokiw3):

1 for sin, 0 for cos

OpenStudy (anonymous):

so tan is sin/cos

OpenStudy (jojokiw3):

Wait why? o_O

OpenStudy (anonymous):

its a property tan = sin/cos

OpenStudy (anonymous):

but since its inverse 1/tan = cos/sin

OpenStudy (jojokiw3):

Ohhhh. So \[\frac{ \frac{ o }{ h } }{ \frac{ a }{ h }} = \frac{ 0 }{ a } = tangent?\]

OpenStudy (jojokiw3):

Thus the cot of 90 degrees = 0?

OpenStudy (anonymous):

correct! nice job

OpenStudy (jojokiw3):

\[\frac{ \sqrt{3} - \sqrt{2} }{ 2 }\] Must be the answer to this question right?

OpenStudy (anonymous):

yes

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