Question 28
The graph shows part of the curve with equation y=4sinx∘y = 4 \sin x^\circy=4sinx∘. The point P P\,P is a maximum point on the curve with a a\,a being the smallest negative value of x x\,x that a maximum occurs.
a.[1]
State the value of a a\,a and the value of bbb.
b.[2]
State the coordinates of the point to which P P\,P is mapped by the transformation which transforms the curve with equation y=4sinx∘y = 4 \sin x^\circy=4sinx∘ to the curve with equation (i) y=4sin(x+28)y = 4 \sin (x + 28)y=4sin(x+28) (ii) y=4sin(3x)y = 4 \sin (3x)y=4sin(3x)
c.[5]
Solve, for 360≤θ<720∘360 \leq \theta < 720^\circ360≤θ<720∘, 4sinθ=tanθ4 \sin \theta = \tan \theta4sinθ=tanθ. Give your answers to one decimal place where appropriate.
Trigonometric Identities and Equations Questions
41 exam-style questions on Edexcel A Level Maths Trigonometric Identities and Equations, covering 10.1 Angles in all four Quadrants, 10.2 Exact Values of Trigonometric Ratios, 10.3 Trigonometric Identities, 10.4 Solving Trigonometric Equations, 10.5 Harder Trigonometric Equations, and 10.6 Equations and Identities. Each one has a worked solution and a mark scheme showing where the marks go.