How do you determine graphically and analytically whether $y_{1} = \frac{cos x}{sin x}$ $y_1=cosx/sinx$ is equivalent to $y_{2} = cot x$ $y_2=cotx$ ?

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How do you determine graphically and analytically whether $y_{1} = \frac{cos x}{sin x}$ $y_1=cosx/sinx$ is equivalent to $y_{2} = cot x$ $y_2=cotx$ ?

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Answer 1 · 2018-04-23T03:10:24

Since $cot x = \frac{cos x}{sin x}$ $cot x = frac{cos x}{sin x}$ by definition, there's no reason or meaning to graphically or analytically verifying this, so I wouldn't.

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How do you determine graphically and analytically whether $y_{1} = \frac{cos x}{sin x}$ $y_1=cosx/sinx$ is equivalent to $y_{2} = cot x$ $y_2=cotx$ ?

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How do you determine graphically and analytically whether y_1=cosx/sinxy1=cosxsinxy_1=cosx/sinx is equivalent to y_2=cotxy2=cotxy_2=cotx?

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How do you determine graphically and analytically whether $y_{1} = \frac{cos x}{sin x}$ $y_1=cosx/sinx$ is equivalent to $y_{2} = cot x$ $y_2=cotx$ ?