Maths past paper

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: 3.1 sinA 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: 5.1 tan23° 5.2 sin67° 5.3 sin23°
5.4 tan67°
6. Use the sketch alongside to answer the questions below.

6.1 Without using a calculator, find the value of 6.2 Determine 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)
8.1 8.2
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 9.5 cot 3A 9.6 2cosec(A – B) 9.7 9.8
10. Solve for x if
10.1 10.2
10.3 10.4
10.5 10.6
10.7