Question 21
The diagram shows the graph of y=cosxy = \cos xy=cosx where x x\,x is measured in radians.
a.[2]
Explain why the equation cosx−3x−0.5=0\cos x - 3x - 0.5 = 0cosx−3x−0.5=0 only has one real root.
b.[3]
Given the root of the equation is α\alphaα, and α \alpha\,α is small, use small angle approximations to find the value of α \alpha\,α to 3 decimal places.
Radians Questions
69 exam-style questions on Edexcel A Level Maths Radians, covering 5.1 Radian Measure, 5.2 Arc Length, 5.3 Areas of Sectors and Segments, 5.4 Solving Trigonometric Equations, and 5.5 Small Angle Approximations. Each one has a worked solution and a mark scheme showing where the marks go.