A curve has the equation
y=asinx+bcosx y = a \sin x + b \cos x y=asinx+bcosxwhere a a\,a and b b\,b are constants.
The values of a a\,a and b b\,b are
a=32(6+2),b=32(6−2) a = \frac{3}{2}(\sqrt{6}+\sqrt{2}), \qquad b = \frac{3}{2}(\sqrt{6}-\sqrt{2}) a=23(6+2),b=23(6−2)Find the maximum value of y y\,y and verify that the curve passes through the point (π4,33)\displaystyle \left(\frac{\pi}{4}, 3\sqrt{3}\right)(4π,33)
348 exam-style questions on Edexcel A Level Maths Trigonometry and Modelling, covering 7.1 Addition Formulae, 7.2 Double Angle Formulae, 7.3 Solving Trigonometric Equations, 7.4 Simplifying a cos x +- b sin x, 7.5 Proving Trigonometric Identities, and 7.6 Modelling with Trigonometric Functions. Each one has a worked solution and a mark scheme showing where the marks go.