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

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Unit Circle with Secant, Cosecant, and Cotangent
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sec⁡θ\sec \theta on unit circle

sec⁡θ=1x\sec \theta = \frac{1}{x}

cosec θ\text{cosec } \theta on unit circle

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

cot⁡θ\cot \theta on unit circle

cot⁡θ=xy\cot \theta = \frac{x}{y}

Secant is reciprocal of...

Cosine

Cosecant is reciprocal of...

Sine

Cotangent is reciprocal of...

Tangent

When is sec⁡θ\sec \theta undefined?

When x=0x = 0

When is cosec θ\text{cosec } \theta undefined?

When y=0y = 0

Coordinates at π6\frac{\pi}{6} on unit circle

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

Coordinates at π4\frac{\pi}{4} on unit circle

(22,22)\left(\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2}\right)

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