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Trigonometry, 2ADV EQ-Bank 4

Find the exact value of

  1. \(\tan 330^{\circ}\)   (1 mark)

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  2. \(\cos 510^{\circ}\)   (1 mark)

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Show Answers Only

a.    \(-\dfrac{1}{\sqrt{3}}\)

b.    \(-\dfrac{\sqrt{3}}{2}\)

Show Worked Solution

a.    \(\tan 330^{\circ}=\tan (360-30)=-\tan 30^{\circ}=-\dfrac{1}{\sqrt{3}}\)

b.    \(\cos 510^{\circ}=\cos 150^{\circ}\)

\(\cos 150^{\circ}=\cos (180-30)=-\cos 30^{\circ}=-\dfrac{\sqrt{3}}{2}\)

Filed Under: Exact Trig Ratios Tagged With: Band 3, smc-6411-20-cos, smc-6411-30-tan, smc-6411-50-Angles of Any Magnitude

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