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Mathematics 14 Online
OpenStudy (anonymous):

1-tanx/1-cotx

OpenStudy (anonymous):

(1-tanx)/(1-cotx)?

OpenStudy (anonymous):

tan x= sinx/cosx. cot x= cosx/ sinx is something you should know.

OpenStudy (anonymous):

(1-sinx/cosx)/(1-cosx/sinx)= ((cosx-sinx)/cosx)/( (sinx-cosx)/sinx)

OpenStudy (anonymous):

I end up getting tanx but im pretty sure it should be -tanx

OpenStudy (anonymous):

\[\begin{align*}\frac{1-\tan x}{1-\cot x}&=\frac{1-\frac{\sin x}{\cos x}}{1-\frac{\cos x}{\sin x}}\\\\ &=\frac{\frac{\cos x-\sin x}{\cos x}}{\frac{\sin x-\cos x}{\sin x}}\\\\ &=-\frac{\frac{1}{\cos x}}{\frac{1}{\sin x}}\\\\ &=-\frac{\sin x}{\cos x}\\\\\\\\ &=\cdots \end{align*}\]

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