The Tangent Function (VCE SSCE Mathematical Methods): Quizzes

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The Tangent Function
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10 questions from this quiz

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What is the definition of tanθ\tan \theta?

sinθcosθ\frac{\sin \theta}{\cos \theta}

What is the period of the basic tangent function y=tanθy = \tan \theta?

π\pi

What is the range of y=tanθy = \tan \theta?

All real numbers R\mathbb{R}

Where do vertical asymptotes occur for y=tanθy = \tan \theta?

At odd multiples of π2\frac{\pi}{2}

What is the period of f(t)=atan(nt)f(t) = a \tan(nt)?

πn\frac{\pi}{n}

Where do vertical asymptotes occur for y=atan(nt)y = a \tan(nt)?

t=(2k+1)π2nt = \frac{(2k + 1)\pi}{2n} where kZk \in \mathbb{Z}

How does a vertical translation affect vertical asymptotes of tangent?

It does NOT affect their positions

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

11

What is the odd function property of tangent?

tan(θ)=tanθ\tan(-\theta) = -\tan \theta

To solve sin(nx)=kcos(nx)\sin(nx) = k \cos(nx), what equation should you use?

tan(nx)=k\tan(nx) = k

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