Unit Circle with Secant, Cosecant, and Cotangent (HSC SSCE Mathematics Advanced): Quizzes

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Unit Circle with Secant, Cosecant, and Cotangent
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On the unit circle, what is the formula for sec⁡θ\sec \theta?

sec⁡θ=1x\sec \theta = \frac{1}{x}

On the unit circle, what is the formula for cosec θ\text{cosec } \theta?

cosec θ=1y\text{cosec } \theta = \frac{1}{y}

At which angle is sec⁡θ\sec \theta undefined?

θ=π2\theta = \frac{\pi}{2}

At which angle is cosec θ\text{cosec } \theta undefined?

θ=0\theta = 0

If a point on the unit circle is (12,32)\left(\frac{1}{2}, \frac{\sqrt{3}}{2}\right), what is sec⁡θ\sec \theta?

22

If a point on the unit circle is (32,12)\left(\frac{\sqrt{3}}{2}, \frac{1}{2}\right), what is cosec θ\text{cosec } \theta?

22

What are the unit circle coordinates at π6\frac{\pi}{6}?

(32,12)\left(\frac{\sqrt{3}}{2}, \frac{1}{2}\right)

What is the value of cot⁡(π2)\cot\left(\frac{\pi}{2}\right)?

00

What is the value of sec⁡(π4)\sec\left(\frac{\pi}{4}\right)?

2\sqrt{2}

Which function is the reciprocal of the tangent function?

Cotangent

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