Exact trigonometric values

Work out the length AC.

Write down the value of x for 0° ≤ x ≤ 360° when sin x = –1

Circle the value of tan² 30° 4 (a)

On the axes, sketch

The point P lies on the circle x² + y² = 16 The line O P is at an angle of 60 ° to the positive x - axis.

Show that the coordinates of point P are (2, 2

Work out the equation of the tangent to the circle at P. Write your answer in the form x + ay = b where a and b are constants.

In triangle RST RS: ST = 1: 4

Work out the exact value of sin θ.

Work out the value of x where 0° x 90° for which 3 tan² x = 1

SQR is a right-angled triangle. P is a point on SQ. Angle SPR = 45 ° M is the midpoint of QR. k is a constant.

Work out the coordinates of M.