KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
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The table below shows values of x and some values of y for the curve y = 14+ 10x 8x² - 4x³.1/1/2024 QUESTION 20 | KCSE 2023 | TRIGONOMETRY III | PAPER 2 | FORM 3 LEVEL
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QUESTION 23 | KCSE 2021 | TRIGONOMETRY III | PAPER 2 | FORM 4 LEVEL(a) Complete the table below giving the values correct to 1 decimal place. (b) On the grid provided and using the same axis, draw the graphs of y = 2sin(3/4 x) - 2cos(3/4 x) and y = 1 + 2cos x for 0° ≤x≤ 360°. (4 marks)
QUESTION 10 | KCSE 2021 | TRIGONOMETRY III | PAPER 2 | FORM 4 LEVELThe equation of a trigonometric wave is y = 4 sin (ax-70)°. The wave has a period of 180°.
(a) Determine the value of a. (1 mark) (b) Deduce the phase angle of the wave. (1 mark) QUESTION 11 | KCSE 2022 | TRIGONOMETRY III | PAPER 2 | FORM 4 LEVEL The figure below represents the curve of the function y = 1 − A sin wx for the range −35◦ ≤ x ≤ 50◦. Determine the values of A and R.
TRIGONOMETRY III | FORM 4 LEVEL | PAPER 2 QUESTIONS | SECTION B(a) Complete the table for y = Sin x + 2cos x. (2mks)
(b) Draw the graph of y= sin x + 2 Cos x using a scale of 1cm to represent 30o on x-axis and 2cm to represent 1 unit on y-axis. (3mks)(c) Solve sin x + 2 cos x = 0 using the graph. (2mks)(d) Find the range of values of x for which y≤-0.5. (3mks)
Form 4 Mathematics
Determine the amplitude and the period of the function y = 3 sin(2x + 40°).
Form 4 Mathematics
The table below shows some values of the curves y = 2 cos x and y = 3 sin x.
(a) Complete the table for values of y = 2 cos x and y = 3 sin x, correct to 1 decimal place.
On the grid provided, draw the graphs of y = 2 cos x and y = 3 sin x for 0° ≤ x ≤ 360°, on the same axes.
(c) Use the graph to find the values of x when 2 cos x — 3 sin x = 0 (d) Use the graph to find the values of y when 2 cos x = 3 sin x. Form 4 Mathematics
State the amplitude and the phase angle of the curve y = 2 sin ( 3/2 x — 30°)
Form 4 Mathematics
Determine the amplitude, period and the phase angle of the curve: y = 5/2 sin (4θ + 60°)
Form 3 Mathematics
Find in radians, the values of x in the interval 0c ≤ x ≤ 2πc for which 2 cos2x - sin x = 1. (Leave the answer in terms of π)
Form 3 Mathematics
Given that x is an acute angle and cos x = 2/5 √5 find, without using mathematical tables or a calculator, tan (90-x).
Form 4 Mathematics
The equation of a curve is given by y= 1 + 3sin x.
(a) Complete the table below for y = 1 + 3 sin x correct to 1 decimal place
(b) (i) On the grid provided, draw the graph of y - 1 + 3 sin x for 0° ≤ x ≤ 360°.
ii) State the amplitude of the curve y = 1 + 3 sin x. c) On the same grid draw the graph of y = tan x for 90° ≤ x ≤ 270°. d) Use the graphs to solve the equation ; 1+3 sin x = tan x for 90° ≤ x ≤ 270°. Form 4 Mathematics
Determine the amplitude and period of the function, y = 2 cos (3x — 45)°.
Form 4 Mathematics
a) Complete the table below, giving your values correct to 2 decimal places.
Form 4 Mathematics
(a) Complete the table below, giving the values correct to 1 decimal place.
b) On the grid provided, using the same scale and axes, draw the graphs of y = 2 sin (χ+20)0 and y = √3 cos χ for 00 ≤ χ ≤ 2400.
c) Use the graphs drawn in (b) above to determine: i) the value of χ for which 2sin (χ + 20) = √3 cos χ; ii)the difference in the amplitudes of y =2sin(χ + 20) and y =√3 cos χ. Form 4 MathematicsForm 4 MathematicsForm 4 Mathematics
(a) Complete the table below, giving the values correct to 2 decimal places.
(b) On the grid provided and using the same axes draw the graphs of y = cos x° and y= sin x°— cos x° for 0° ≤ x ≤ 180°.Use the scale; 1 cm for 20°on the x-axis and 4cm fort unit on the y-axis.
(c) Using the graph in part (b): (i) solve the equation sin x° — cos x° 1.2; (ii) solve the equation cos x°= 1/2 sinx; (iii) determine the value of cos x° in part (c) (ii) above. |
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