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- A mixture of short answer and multiple-choice questions
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- Question 1 of 10
##### 1. Question

Convert \(34.6^\circ \) to radians, correct to 3 significant figures.

radians

CorrectIncorrect##### Hint

\(\pi \text{ radian } = 180^\circ \)

- Question 2 of 10
##### 2. Question

Find the obtuse angle with the same sine as \(\dfrac{\pi }{6}\).

CorrectIncorrect - Question 3 of 10
##### 3. Question

In which quadrant is true where \(\sin \theta \) is negative and \(\tan \theta \) is positive.

CorrectIncorrect - Question 4 of 10
##### 4. Question

Find the amplitude and period of \(y = \cos 2x\).

amplitude = , period = degree(s)

CorrectIncorrect - Question 5 of 10
##### 5. Question

Find the amplitude and period of \(y = 2\tan \left( {2x + 4} \right)\).

amplitude = , period = degree(s)

CorrectIncorrect - Question 6 of 10
##### 6. Question

Find \(A\), if \({\sin ^2}\theta – 3{\cos ^2}\theta = A{\sin ^2}\theta – B\).

\(A = \) , \(B = \)

CorrectIncorrect##### Hint

\({\sin ^2}\theta + {\cos ^2}\theta = 1\)

- Question 7 of 10
##### 7. Question

Find \(A\), if \(\dfrac{1}{{1 – \sin \theta }} + \dfrac{1}{{\sin \theta + 1}} = \dfrac{A}{{{{\cos }^2}\theta }}\).

\(A = \)

CorrectIncorrect##### Hint

\({x^2} – {y^2} = \left( {x – y} \right)\left( {x + y} \right)\)

- Question 8 of 10
##### 8. Question

Solve \(\sin x = \dfrac{1}{2}\) for \( – 360^\circ \le x \le 360^\circ \). Write four answers in ascending order.

\(x= \) \(^\circ \), \(^\circ \), \(^\circ \), \(^\circ \)

CorrectIncorrect - Question 9 of 10
##### 9. Question

Solve \(\cos \left( {x + 60^\circ } \right) = \dfrac{1}{2}\) for \(- 540^\circ \le x \le 540^\circ \). Write six answers in ascending order.

\(x = \) \(^\circ\), \(^\circ\), \(^\circ\), \(^\circ\), \(^\circ\), \(^\circ\),

CorrectIncorrect - Question 10 of 10
##### 10. Question

Solve \(\cos 2x – \cos x = 0\) for \(0^\circ \le x \le 360^\circ \). Write answers in ascending order.

\(x = \) \(^\circ\), \(^\circ\), \(^\circ\), \(^\circ\)

CorrectIncorrect##### Hint

\(\cos 2x = 2{\cos ^2}x – 1\)