Trigonometry

  Answer the following questions. 

1. (a) Copy and complete the table of values for the relation y=2sinx +1 

(b) Using scales of 2 cm to 30° on the x-axis and 2 cm to 1 unit on the y-axis, draw the graph of 

  y=2sinx +1  for 0⁰≤x≤270⁰

(c) Use the graph to find the value of x for which sin x =0.25

2. (a) Copy and complete the table of values for y=cos x -3sin x, 0⁰≤x≤180⁰.

(b) Using a scale of 2 cm to 20° on the x-axis and 4 cm to 1 unit on the y axis, draw the graph of y=cos x-3sin x, 0°≤x≤180°.

Using the graph, find the:

(i) truth set of 2+cos x=3sin x;

(ii) range of values of x for which y increases as x increases;

(iii) minimum point of the curve

3) Given that  

4. (a) Copy and complete of values for y=3sin x + 7cos x for 0°≤x≤180°.

(b) Using a scale of 2 cm to 20° on the x-axis and 2 cm to 2 units on the y-axis, draw the graph of  y=3sin x + 7cos x for 0°≤x≤180°.

(c) Using the graph, find the 

(i) value of y when x=150 degrees;

(ii) range of values of x for which y>0.

Check your understanding