For a small angle θ\thetaθ, where θ \theta\,θ is in radians, 2cosθ+(sinθ+2)2≈4θ+62 \cos \theta + (\sin \theta + 2)^2 \approx 4\theta + 62cosθ+(sinθ+2)2≈4θ+6. Hence determine an approximate solution to 2cosθ+(sinθ+2)2≈24tanθ2 \cos \theta + (\sin \theta + 2)^2 \approx 24 \tan \theta2cosθ+(sinθ+2)2≈24tanθ
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.