Exact trigonometric values

ABC is a triangle.

Work out the length of AB.

Sketch the graph of y = sinx° for 0 ≤ x ≤ 360

Solve the equation 2 sinx° = –1 for 0 ≤ x ≤ 360

Here is triangle ABC.

Find the size of angle ABC. You must show all your working.

Write down the exact value of cos 60°

ABCDEFGH is a cuboid.

AF = 6.8 cm FC = 13.6 cm Work out the size of the angle between FC and the plane ABCD.

Here is a triangle ABC.

Work out the value of sin ABC Give your answer in the form where m and n are integers.

Write down the value of sin 30°

Here is trapezium ABCD.

The area of the trapezium is 66 cm² the length of AB: the length of CD = 2: 3 Find the length of AB.

ABCDEF is a regular hexagon with sides of length x. This hexagon is enlarged, centre F, by scale factor p to give hexagon FGHIJK.

Find the exact value of tan 30 sin 60 Give your answer in its simplest form.

Write down the exact value of tan 45°

Here is a right-angled triangle.

cos 60° = 0.5

Work out the value of x.

The table shows some values of x and y that satisfy the equation y = acos x+ b

Find the value of y when x = 45