# Maths past paper

**Topics:**Trigonometry, Surround sound, Trigonometric functions

**Pages:**5 (273 words)

**Published:**May 31, 2014

Grade 10 Maths Cass Tutorial 2014

TRIGONOMETRY

Handed out: 25 APRIL 2014

Due Date : 14 MAY 2014

Validation Test : 14 MAY 2014

COMMON TEST: 16 MAY 2014

If you score below 50% in the validation test, then any marks awarded for completeness or punctuality will be ignored. Your percentage will be based purely on your test result out of 15. If you score 50% or more, then up to 10 additional marks may be added to your test result and your percentage will then be based on your combined total out of 25. Make sure that your work is your own and that you understand each question so that you can earn the additional marks!

1.Draw a diagram on the Cartesian Plane to find the values of the 3 trigonometric functions if 1.1

1.2

1.3

1.4

2.

3.If 13cosA + 5 = 0 and sin A < 0, determine, without a calculator, the value of:

3.1sinA 3.2 tan A 3.3 cosec A 3.4 4.If , determine, without a calculator, the value of

5.If cos23° = k, express each of the following in terms of k:

5.1tan23°

5.2sin67°

5.3sin23°

5.4tan67°

6. Use the sketch alongside to answer the questions below.

6.1Without using a calculator,

find the value of

6.2Determine the value of θ.

7.Use the sketch alongside to prove

that sin2θ + cos2θ = 1

8.Simplify the following without the use of a calculator. (Use special angles and co-ratios) 8.18.2

8.3 8.4

8.5

9.If and evaluate each of the following correct to 2 decimal places:

9.1 9.2

9.3 9.4

9.5cot 3A 9.6 2cosec(A – B)

9.7 9.8

10. Solve for x if

10.1 10.2

10.310.4

10.5 10.6

10.7 10.8

11 A man stands at A, the top of a cliff and looks down at two boats, B and C. The cliff is 12m high

and the angles of depression of the two boats B and C are and respectively Find the distance between the boats

12. Find x in terms of ∝ , θ and d

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