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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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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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