Trigonometric ratios, sine and cosine rules and areaEdexcel A-Level Maths: Mind map

Exam questions on Trigonometric ratios, sine and cosine rules and area

1. A point $P$ lies on the unit circle centred at the origin $O$. The angle from the positive $x$-axis to $OP$, measured anticlockwise, is $150^\circ$.
   The point $Q$ on the unit circle corresponds to an angle of $210^\circ$. Write down the exact coordinates of $Q$.2 marks
2. In triangle $ABC$, $AB=6$ cm, $BC=10$ cm and $A\hat{B}C=60^\circ$.
   Find the size of angle $B\hat{A}C$, giving your answer to one decimal place.2 marks
3. The angle $\theta$ satisfies $\sin\theta=\frac35$ and $90^\circ<\theta<180^\circ$. A triangle has two sides of lengths $10$ cm and $13$ cm with included angle $\theta$.
   Find the exact values of $\cos\theta$ and $\tan\theta$.3 marks