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Knowledge Check Quiz

EXAMS.IE

Trigonometric Formulae

Hint

The radius of the unit circle is \(1\).

1 / 5

Where does the identity \(\cos^2A+\sin^2A\) come from?

Hint

Check out some marking schemes!

2 / 5

If I am asked to derive a trigonometric identity in my log tables, I am allowed to use any of the other identities.

Hint

\(\cos15^{\circ}=\cos(60^{\circ}-45^{\circ}\)

3 / 5

If I am asked to write \(\cos15^{\circ}\) in surd form, which of the following types of identity should I use?

Hint

\(\cos120^{\circ}=\cos(2\times60^{\circ})\)

4 / 5

If I am asked to write \(\cos120^{\circ}\) in surd form, my only option is to use a compound angle identity.

Hint

This can be determined using the CAST rule.

5 / 5

\(\cos A\) is negative if \(270^{\circ}\leq A\leq360^{\circ}\).

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