Quick questions on Circular (trig) functions and graphs: VCE Math Methods Unit 3

5short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is wrong sign from the quadrant?

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\sin(7\pi/6)

is negative (quadrant 3), not positive. Always sketch the unit circle or use ASTC.

What are degrees instead of radians?

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All VCE Math Methods trig is in radians. Writing

\sin(30)

instead of

\sin(\pi/6)

will be marked wrong.

What is q1?

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State the amplitude, period and range of

y = 4\sin(3x) + 2

. [3 marks]

What is q2?

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Find the exact value of

\cos\!\left(\frac{5\pi}{4}\right)

. [2 marks]

What is q3?

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For

y = 2\sin\!\left(2\!\left(x - \frac{\pi}{4}\right)\right)

, state (a) the period and (b) the phase shift. [2+1 marks]

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