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VICSpecialist MathematicsQuick questions

Unit 3: Functions, relations and graphs

Quick questions on Inverse circular functions: VCE Specialist Mathematics 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 part?
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Evaluate arccos ⁣(12)\arccos\!\left(-\frac{1}{2}\right).
What is wrong sign for arccos\arccos of a negative?
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arccos\arccos of a negative number lies in the second quadrant (π2,π)\left(\frac{\pi}{2}, \pi\right), never negative.
What is q1?
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State the domain and range of y=arctanxy = \arctan x. [2 marks]
What is q2?
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Find the exact value of arcsin ⁣(22)\arcsin\!\left(-\frac{\sqrt{2}}{2}\right). [2 marks]
What is q3?
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Evaluate sin ⁣(arccos513)\sin\!\left(\arccos\frac{5}{13}\right). [3 marks]

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