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Examples, videos, activities, solutions, and worksheets that are suitable for A Level Maths.

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

giving your answers to 1 decimal place

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.

More Lessons for A Level Maths

Math Worksheets

Examples, videos, activities, solutions, and worksheets that are suitable for A Level Maths.

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°

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

giving your answers to 1 decimal place

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

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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