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Examples, videos, activities, solutions, and worksheets that are suitable for A Level Maths to help students answer questions on trigonometric identities.

A-Level Edexcel C3 January 2008 Q6(a)

Worked solution to this question on trig. Identities

(a) Use the double angle formulae and the identity

cos(A + B) = cosA cosB - sinA sinB

to obtain an expression for cos 3x in terms of powers of cos x only
A-Level Edexcel C3 January 2008 Q6b(i)

Worked solution to this question on trig. Identities

(b)(i) Prove that

cos x/(1 + sin x) + (1 + sin x)/cos x = 2 sec x A-Level Edexcel C3 January 2008 Q6b(ii)

Worked solution to this question on trig. Identities

(b)(ii) Hence find, for 0 < x < 2π, all the solutions of

cos x/(1 + sin x) + (1 + sin x)/cos x = 4

A-Level Edexcel C3 January 2008 Q7(a)

A curve C has equation

y = 3 sin2x + 4 cos2x, -π ≤ x ≤ π.

The point A(0, 4) lies on C.

(a) Find an equation of the normal to the curve C at A
A-Level Edexcel C3 January 2008 Q7(b)

Worked solution to this question on the Rsin(x+alpha) method.

(b) Express y in the form Rsin(2x + α), where R > 0 and 0 < α < π/2

Give the value of α to 3 significant figures A-Level Edexcel C3 January 2008 Q7(c)

(c) Find the coordinates of the points of intersection of the curve C with the x-axis.

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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.

A Level Maths

Math Worksheets

Examples, videos, activities, solutions, and worksheets that are suitable for A Level Maths to help students answer questions on trigonometric identities.

A-Level Edexcel C3 January 2008 Q6(a)

Worked solution to this question on trig. Identities

(a) Use the double angle formulae and the identity

cos(A + B) = cosA cosB - sinA sinB

to obtain an expression for cos 3x in terms of powers of cos x only

Worked solution to this question on trig. Identities

(b)(i) Prove that

cos x/(1 + sin x) + (1 + sin x)/cos x = 2 sec x A-Level Edexcel C3 January 2008 Q6b(ii)

Worked solution to this question on trig. Identities

(b)(ii) Hence find, for 0 < x < 2π, all the solutions of

cos x/(1 + sin x) + (1 + sin x)/cos x = 4

A curve C has equation

y = 3 sin2x + 4 cos2x, -π ≤ x ≤ π.

The point A(0, 4) lies on C.

(a) Find an equation of the normal to the curve C at A

Worked solution to this question on the Rsin(x+alpha) method.

(b) Express y in the form Rsin(2x + α), where R > 0 and 0 < α < π/2

Give the value of α to 3 significant figures A-Level Edexcel C3 January 2008 Q7(c)

(c) Find the coordinates of the points of intersection of the curve C with the x-axis.

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