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More Lessons for A Level Maths

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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.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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