Mathematics Past Questions and Answers

(a) Copy and complete the table of values for \(y = \sin x + 2 \cos x\), correct to one decimal place.

x	0°	30°	60°	90°	120°	150°	180°	210°	240°
y		2.2				-1.2	-2.0		-1.9

(b) Using a scale of 2 cm to 30° on the x- axis and 2 cm to 0.5 units on the y- axis, draw the graph of \(y = \sin x + 2\cos x\) for \(0° \leq x \leq 240°\).
(c) Use your graph to solve the equation : (i) \(\sin x + 2 \cos x = 0\) ; (ii) \(\sin x = 2.1 - 2\cos x\).
(d) From the graph, find y when x = 171°.

Simplify 0.000215 x 0.000028 and express your answer in standard form

Simplify 0.000215 x 0.000028 and express your answer in standard form

Factorize: x + y - ax = ay

A car uses one litre of petrol for every 14km. If one of petrol cost N63.00, how far can the car go with N900.00 worth of petrol?