Trigonometric Identities and Equations
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Question 145
The graph shows part of the curve with equation y=5sinx∘y = 5 \sin x^\circy=5sinx∘. The point P P\,P is a maximum point on the curve with a a\,a being the negative value of x x\,x closest to zero at which a maximum occurs.
a.[1]
State the value of a a\,a and the value of bbb.
b.[2]
State the equation of the curve to which the curve with equation y=5sinx∘y = 5 \sin x^\circy=5sinx∘ is transformed by (i) a translation parallel to the xxx-axis which maps P P\,P to (−302,5)(-302, 5)(−302,5) (ii) a stretch parallel to the xxx-axis which maps P P\,P to (−135,5)(-135, 5)(−135,5).
c.[5]
Solve, for 360≤θ<720∘360 \leq \theta < 720^\circ360≤θ<720∘, 5sinθ=tanθ5 \sin \theta = \tan \theta5sinθ=tanθ. Give your answers to one decimal place where appropriate.
Trigonometric Identities and Equations Questions
322 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.