Higher-trig-graphs-pick-n-mixmaths.docx

HIGHER: TRIG GRAPHS – This is a selection of the types of question that you need to be able to solve. Q1. (a) Sketch the graph of y = cos xº for

0  x  360

(Total for question =2 marks) Q2. The diagram shows part of a sketch of the curve y = sin x°.

(a) Write down the coordinates of the point P. (.............................. , ..............................) (1) (b) Write down the coordinates of the point Q. (.............................. , ..............................) (1) (Total for Question is 2 marks)

Q3. The diagram shows a sketch of the graph of y = cos x°

(a) Write down the coordinates of the point A.

.............................................................................................................................................. (1) (b) On the same diagram, draw a sketch of the graph of y = 1 + cos x° (1) (Total for Question is 2 marks) Q4. Here is a sketch of the curve y = sin (x + a)° + b

Given that 0 < a < 360 find the value of a and the value of b. a = ........................................................... b = ........................................................... (Total for question = 2 marks)

Q5. Here is the graph of y = sin x° for –180 ≤ x ≤ 180

(a) On the grid above, sketch the graph of y = sin x° + 2 for –180 ≤ x ≤ 180 (2) Here is the graph of y = cos x° for –180 ≤ x ≤ 180

(b) On the grid above, sketch the graph of y = – cos x° for –180 ≤ x ≤ 180 (2) (Total for question = 4 marks)

Q6. The graph of

y = g(x)

Graph B is a translation of

is shown on the grid.

y = g(x).

(a) Write down the equation of graph B. ........................................................... (1) The graph of

y = cos x°

is shown.

(b) Write down the coordinates of the point marked C. ( ................ , ................ ) (1) (Total for question = 2 marks)

Q7.

NON-CALCULATOR

(a) Write down the value of sin 30

(b) Write down the value of cos 45

(c) Write down the value of tan 60

(d) Work out the value of cos 330

(Total for question = 5 marks)

Mark Scheme Q1.

Q2.

Q3.

Q4.

Q5.

Q6.

Q7. (a) (b) (c)

1 2 1

2 2 2 3 3 or 3 or

(d) Cos(330) = cos(30) =

3 2