 # Trig C3 Exam Questions

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Edexcel C3 June 2007 Q7a
Worked solution to this trigonometry equation from this Edexcel past maths C3 paper.
(a) Prove that
sin θ/ cos θ + cos θ/sin θ = 2 cosec 2θ
θ ≠ 90n°
Edexcel C3 June 2007 Q7b
Worked solution to this trigonometry equation from this Edexcel past maths C3 paper.
(b) On the axes on page 20, sketch the graph of y = 2 cosec 2θ for 0° < θ < 360° Edexcel C3 June 2007 Q7c
Worked solution to this trigonometry equation from this Edexcel past maths C3 paper.
(c) Solve, for 0° < θ < 360°, the equation
sin θ/cos θ + cos θ/sin θ = 3

A-Level Maths Edexcel C3 June 2008 Q2a
This question is on trigonometry applying the Rcos(x-alpha) method.
f(x) = 5 cos x + 12 sin x
Given that f(x) = R cos (x - α), where R > 0 and 0 < α < π/2,
(a) find the value of R and the value of α to 3 decimal places
A-Level Maths Edexcel C3 June 2008 Q2b ExamSolutions
This question is on trigonometry applying the Rcos(x-alpha) method
(b) Hence solve the equation
5 cos x + 12 sin x = 6
for 0 ≤ x < 2π
A-Level Maths Edexcel C3 June 2008 Q2c
This question is on trigonometry applying the Rcos(x-alpha) method
(c) (i) Write down the maximum value of 5 cos x + 12 sin x
(ii) Find the smallest positive value of x for which this maximum value occurs.

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