Transcription of C3 Trigonometry - Trigonometric equations
{{id}} {{{paragraph}}}
Example: bankruptcy
C3 Trigonometry - Trigonometric equations
C3 Trigonometry - Trigonometric equations 1. (a) Express 5 cos x 3 sin x in the form R cos(x + ), where R > 0 and 0 < < .21 (4) (b) Hence, or otherwise, solve the equation 5 cos x 3 sin x = 4 for 0 x < 2 ,giving your answers to 2 decimal places. (5) (Total 9 marks) their ), rather than applying the correct method of (2 their principal angle their ). Premature rounding caused a significant number of candidates to lose at least 1 accuracy mark, notably with a solution of instead of 2. Solve cosec2 2x cot 2x = 1 for 0 x 180 . (Total 7 marks) 3. (a) Use the identity cos2 + sin2 = 1 to prove that tan2 = sec2 1. (2) (b) Solve, for 0 < 360 , the equation 2 tan2 + 4 sec + sec2 = 2 (6) (Total 8 marks) Edexcel Internal Review 1 C3 Trigonometry - Trigonometric equations 4. (a) Use the identity cos(A + B) = cosA cosB sinA sinB, to show that cos 2A = 1 2sin2A (2) The curves C1 and C2 have equations C1: y = 3sin 2x C2: y = 4 sin2x 2cos 2x (b) Show that the x-coordinates of the points where C1 and C2 intersect satisfy the equation 4cos 2x + 3sin 2x = 2 (3) (c) Express 4cos2x + 3sin 2x in the form R cos(2x ), where R > 0 and 0 < < 90 , giving the value of to 2 decimal places.
C3 Trigonometry - Trigonometric equations PhysicsAndMathsTutor.com. 1. (a) Express 5 cos x – 3 sin x in the form R cos(x + α), where R > 0 and 0 < α < . 2 1 π (4) (b) Hence, or otherwise, solve the equation
Loading..
Tags:
Information
Domain:
Source:
Link to this page:
Please notify us if you found a problem with this document: