IB Mathematics: Analysis & Approaches
SL Quiz 1 - Triangle Trigonometry
6 questions - total marks on quiz: 42
Part 1 – Calculator is NOT allowed on questions 1 & 2
1.
Find the exact value of x in the diagram at right. [6 marks]
2.
 is an acute angle and cos   . Find the exact values of (a) cos 2 , and (b) tan  .
1
3
[8 marks]
Part 2 – Calculator is allowed on questions 3 – 6.
3.
Find the measure of the smallest angle in a triangle with sides of length 8, 12 and 15.
[6 marks]
4.
Find the possible areas for triangle ABC given AB  11 cm, BC  8 cm and angle A  40 .
[8 marks]
5.
The diagram shows a right pyramid ABCDV with vertex V directly above the centre of the
rectangular base ABCD with AV  BV  CV  DV  15 cm . Find the angle:
(a) between the face ABV and the base;
(b) between the edge AV and the base.
6.
[8 marks]
ˆ  x , ABC
ˆ  2x and ABC
ˆ is an obtuse angle.
The triangle ABC is such that BC  10.2 , BAC
(a) Find AC in terms of cos x .
ˆ B.
(b) Given that the area of triangle ABC is 52.02cos x , find AC
[6 marks]