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.