For a small angle θ\thetaθ, where θ \theta\,θ is in radians, show that 2cosθ+sin2θ≈22 \cos \theta + \sin^2 \theta \approx 22cosθ+sin2θ≈2
Hence determine an approximate solution to 2cosθ+sin2θ≈10tanθ2 \cos \theta + \sin^2 \theta \approx 10 \tan \theta2cosθ+sin2θ≈10tanθ
278 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.