The Tangent Function (Grade 11 NSC Matric Mathematics): Quizzes

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The Tangent Function
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What is the period of the basic tangent function y=tan⁡θy = \tan \theta?

180°180°

What is the range of the tangent function?

(−∞,∞)(-\infty, \infty)

At which values is y=tan⁡θy = \tan \theta undefined?

θ=90°,270°,450°,...\theta = 90°, 270°, 450°, ...

In y=atan⁡θ+qy = a \tan \theta + q, what does q>0q > 0 do?

Shifts graph vertically upwards

In y=atan⁡θy = a \tan \theta, what happens when a>1a > 1?

Branches become steeper

For y=tan⁡(kθ)y = \tan(k\theta), what is the period?

180°∣k∣\frac{180°}{|k|}

In y=tan⁡(θ+p)y = \tan(\theta + p), what happens when p>0p > 0?

Graph shifts left by pp units

What is the y-intercept of y=tan⁡θ+qy = \tan \theta + q?

(0°;q)(0°; q)

Which property shows tangent is an odd function?

tan⁡(−θ)=−tan⁡θ\tan(-\theta) = -\tan \theta

For y=tan⁡(3θ)y = \tan(3\theta), what is the period?

60°60°

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