Quick questions on Inverse circular functions: VCE Specialist Mathematics Unit 3

4short 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 for

\arccos

of a negative?

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\arccos

of a negative number lies in the second quadrant

\left(\frac{\pi}{2}, \pi\right)

, never negative.

What is q1?

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State the domain and range of

y = \arctan x

. [2 marks]

What is q2?

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Find the exact value of

\arcsin\!\left(-\frac{\sqrt{2}}{2}\right)

. [2 marks]

What is q3?

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Evaluate

\sin\!\left(\arccos\frac{5}{13}\right)

. [3 marks]

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