Trigonometry (Cambridge (CIE) IGCSE Maths: Core): Exam Questions

Show that the value of is 27.2, correct to 3 significant figures.

Calculate the value of .

= ................................................. 

Use trigonometry to calculate the value of.

= ..............................................

Use trigonometry to calculate the value of .

= ................................................... 

The diagram shows a right-angled triangle.

Calculate the value of .

.............................................. 

Calculate the size of angle .

Angle  = ............................

The diagram shows a circle, centre , radius 11 cm.

and are points on the circumference of the circle.

The line touches the circle at and is parallel to the line . is a point on and angle = 140°.

i) Give a reason why angle is 90°.

[1]

ii) Show that = 13.11 cm, correct to 2 decimal places.

[3]

iii) Calculate .

= ......................... cm [3]

A speedboat starts at and travels to , then to and then back to .

is due south of and is due west of .

= 39km and = 21 km.

i) Calculate .

.............................km [3]

ii) Calculate angle .

Angle = ......................[2]

iii) Find the bearing offrom .

[1]

A vertical flagpole, , stands on horizontal ground and is held by two ropes,  and .

and angle .

Using trigonometry, calculate .

= ...............................m 

Calculate .

.......................... m 

Triangles  and  are both right-angled triangles.

Calculate the value of .

................................

Calculate the value of .

.................................

and  are points on the circumference of a circle, centre .

[1]

i) Use trigonometry to calculate angle .

Angle  = ............................. [2]

ii) Show that = 48cm.

[2]

iii) Work out the area of triangle .

........................... cm² [2]

iv) Work out the total shaded area.

............................... cm² [3]