Trigonometry C3 Exam Questions
Related Topics:
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
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.
Show Step-by-step Solutions
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.
Try out our new and fun Fraction Concoction Game.
Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.