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Given that sin(θ+30°)=cos2θ, find the value of cos(θ+40°). (3 marks)
KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 9
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Form 3 MathematicsThe diagram below represents a cuboid ABCDEFGH in which FG= 4.5 cm, GH = 8cm and HC = 6 cm 
Calculate: (a) The length of FC ( 2 marks) (b) (i) the size of the angle between the lines FC and FH ( 2 marks) (ii) The size of the angle between the lines AB and FH ( 2 marks) (c) The size of the angle between the planes ABHE and the plane FGHE (2mks)
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Form 3 Mathematics(a) complete the table below, giving your values correct to 2 decimal places ( 2 marks) 
(b) On the grid provided, using the same scale and axes, draw the graphs of y = sin x0 and y = 1 – cos x0 ≤ x ≤ 1800 Take the scale: 2 cm for 300 on the x- axis 2 cm for I unit on the y- axis (c) Use the graph in (b) above to (i) Solve equation 2 sin xo + cos x0 = 1 ( 1 mark) (ii) Determine the range of values x for which 2 sin xo > 1 – cos x0 ( 1 mark)
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Form 3 Mathematics
Given that sin 2x = cos (3x — 10°), find tan x, correct to 4 significant figures.
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Form 4 Mathematics
State the amplitude and the phase angle of the curve y = 2 sin ( 3/2 x — 30°)
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Form 3 MathematicsGiven that Cos 2x0 = 0.8070, find x when 00 < x < 3600 ( 4 marks)
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Form 3 Mathematics
Without using mathematical tables or a calculator, evaluate sin 30°-sin60 °/tan60°
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Form 4 Mathematics
Determine the amplitude, period and the phase angle of the curve: y = 5/2 sin (4θ + 60°)
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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)
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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).
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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°.
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Form 3 Mathematics
Give that xo is an angle in the first quadrant such that 8 sin 2x + 2 cos X -5=0
Find:
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Form 4 Mathematics
Determine the amplitude and period of the function, y = 2 cos (3x — 45)°.
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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.
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Form 3 Mathematics
Given that sin (x + 20)0 = - 0.7660, find x, to the nearest degree, for 00≤ x ≥ 3600.
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Form 3 Mathematics
Solve the equation 3tan 2x – 4tan x - 4 = 0 for 00 ≤ x ≥ 1800 (4mks)
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Form 3 Mathematics
Given that tan x° = 3/7 find cos (90 - x)° giving the answer to 4 significant figures.
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