In the interval $90^{\circ} \leq A \leq 360^{\circ}$ $90^@<=A<=360^@$ , what's the smallest value of A for which $cot A$ $cotA$ is undefined?

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In the interval $90^{\circ} \leq A \leq 360^{\circ}$ $90^@<=A<=360^@$ , what's the smallest value of A for which $cot A$ $cotA$ is undefined?

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Answer 1 · 2016-11-01T01:20:54

$180^{o}$ $180^o$

Explanation:

$cot A = \frac{cos A}{sin A}$ $cotA=cosA/sinA$

And so $cot A$ $cotA$ will be undefined when $sin A = 0$ $sinA=0$

We're asked for the smallest value of A within the interval:

$90^{o} \leq A \leq 360^{o}$ $90^o<=A<=360^o$

The sine ratio is 0 at $0^{o} \pm n 180^{o}$ $0^o +- n180^o$ where n is a natural number. And so the smallest value of A within our allowable range that will make $sin A = 0$ $sinA=0$ and therefore make $cot A$ $cotA$ undefined is $180^{o}$ $180^o$

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In the interval $90^{\circ} \leq A \leq 360^{\circ}$ $90^@<=A<=360^@$ , what's the smallest value of A for which $cot A$ $cotA$ is undefined?

1 Answer

Explanation:

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In the interval 90^@<=A<=360^@90∘≤A≤360∘90^@<=A<=360^@, what's the smallest value of A for which cotAcotAcotA is undefined?

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Explanation:

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In the interval $90^{\circ} \leq A \leq 360^{\circ}$ $90^@<=A<=360^@$ , what's the smallest value of A for which $cot A$ $cotA$ is undefined?