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

Find the total surface of the prism, leaving in \({\rm{c}}{{\rm{m}}^2}\).

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

Find \(\theta \), correcting to the nearest degree.

\(\theta = \) degree(s)

CorrectIncorrect##### Hint

\(\dfrac{a}{{\sin A}} = \dfrac{b}{{\sin B}} = \dfrac{c}{{\sin C}}\)

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

Find the largest angle in the triangle, correcting to the nearest degree.

degree(s)

CorrectIncorrect##### Hint

\(\cos A = \dfrac{{{b^2} + {c^2} – {a^2}}}{{2bc}}\)

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

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

radians

CorrectIncorrect##### Hint

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

- Question 5 of 10
##### 5. 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 6 of 10
##### 6. Question

If \({\cos ^4}\theta – {\sin ^4}\theta = a\cos \left( {b\theta } \right)\), find \(a\) and \(b\).

\(a = \) , \(b = \)

CorrectIncorrect##### Hint

\(\begin{align} \displaystyle

\cos 2\theta &= {\cos ^2}\theta – {\sin ^2}\theta \\

&= 2{\cos ^2}\theta – 1\\

&= 1 – 2{\sin ^2}\theta

\end{align}\) - Question 7 of 10
##### 7. Question

Solve \(\cos \left( {4x – 180^\circ } \right) = 0\) for \(0^\circ \le x \le 180^\circ \). Write four answers in ascending order, correcting to one decimal place where necessary.

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

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

Solve \(\cos 2x + 3\cos x = 1\) for \(0^\circ \le x \le 360^\circ \). Write answers in ascending order.

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

CorrectIncorrect##### Hint

\(\cos 2x = 2{\cos ^2}x – 1\)

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

Find the vector equation of the following diagram.

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

Find \(x\) and \(y\), if \(\overrightarrow {AC} = \left( {\begin{array}{*{20}{c}}

x\\

y

\end{array}} \right)\) given \(\overrightarrow {AB} = \left( {\begin{array}{*{20}{c}}

3\\

4

\end{array}} \right)\) and \(\overrightarrow {BC} = \left( {\begin{array}{*{20}{c}}

1\\

6

\end{array}} \right)\).\(x = \) , \(y = \)

CorrectIncorrect