Question 1
1 markFind all values of \(x\) in the interval \(0^\circ \le x \le 360^\circ\) which satisfy the equation \(4 \sin^2 x - 1 = 0\).
Pearson Edexcel International A Level · Pure Mathematics (YPM01)
Trigonometry: Practice Questions
5 multiple-choice questions marked as you go, and 2 written questions with worked solutions. All on Trigonometry.
7 questions14 marksFree, no account
Question 2
1 markFind the maximum value of the function \(f(x) = 3 \cos x + 4 \sin x + 10\).
Question 3
1 markA sector of a circle has radius \(r\) cm and angle \(\theta\) radians. Given that the perimeter of the sector is 20 cm and its area is 24 cm\(^2\), find the possible values of \(r\) and \(\theta\).
Question 4
1 markIn triangle \(ABC\), \(AB = x\) cm, \(BC = (x + 2)\) cm, \(AC = 5\) cm and \(\angle ABC = 60^\circ\). Calculate the value of \(x\).
Question 5
1 markSolve the equation \(\cos 2\theta + 3 \sin \theta = 2\) for \(0 \le \theta < 2\pi\).
Question 6
4 marksSolve the equation \(2 \cos^2 x - 5 \cos x + 2 = 0\) for the interval \(0^\circ \le x < 360^\circ\).
Write your answer out first, then check it against the worked solution.
Question 7
5 marksFigure 1 shows a sector of a circle with radius \(r\) cm and angle \(\theta\) radians. Given that the sector has a fixed area of \(50 \text{ cm}^2\), express the perimeter \(P\) in terms of \(r\) and find the value of \(r\) for which \(P\) is stationary.
Write your answer out first, then check it against the worked solution.
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