GCSE - Numeracy and Mathematics
Topic: Sketching trigonometric graphs
Tier: Higher
Starter
Top Tips!
Grade: A*/A
11`
Using the graphs or otherwise, which
of the following are true.
1. Cos60° = Sin30°
2. Sin10° = Cos80°
3. Tan90° = 1
Don’t forget Max and Min 1 to -1 for Sin and Cos
Sin start at 0
Cos start at 1
Tan -infinity to +infinity
4. Cos45° = Sin45°
5. Tan45° = Cos90°
Examination Question:
Skills:
1. Complete the table for y = cosx
x 0° 15°
y
2.
1
30°
2014 November Linear P1 Higher Q15
45° 60° 75° 90°
0.87
0.5
Sketch the graph of y = sinx + 2
(label the y-axis appropriately)
y
x
90°
180°
270°
360°
Sallie and Bethan are playing a game by matching cards of equal
value.
Sallie matches card A with card D.
Bethan matches card E with card H.
Who is correct? You must sketch a graph to explain your answer. [3]
3. Given the value of
1
√3
Sin60° = 2
Sin 30° =
2
Write down the value of:
a. Sin -30° = …………..
b. Sin 210° = …………..
c. Sin 330° = …………..
4. Given that Tan45° = 1. Write
down as many values as you can
for x between 400° and 600° such
that tanx = 1
………………………………...........
Assessment for Learning
Video / QR code
GCSE - Numeracy and Mathematics
Topic: Sketching trigonometric graphs
Tier: Higher
Starter
Top Tips!
Grade: A*/A
22`
Using the graphs or otherwise, which
of the following are true.
1. Cos60° = Sin30° True (0.5)
2. Sin10° = Cos80° True (0.17)
3. Tan90° = 1
False
4. Cos45° = Sin45° True (0.707)
5. Tan45° = Cos90° False
Examination Question:
Skills:
2014 November Linear P1 Higher Q15
5. Complete the table for y = cosx
x 0°
15°
30°
45°
60°
75°
90°
y
1
0.97
0.87
0.71
0.5
0.26
0
6.
Sketch the graph of y = sinx + 1
(label the y-axis appropriately)
2
y
1
0
Don’t forget Max and Min 1 to -1 for Sin and Cos
Sin start at 0
Cos start at 1
Tan -infinity to +infinity
x
90°
180°
270°
360°
Sallie and Bethan are playing a game by matching cards of equal
value.
Sallie matches card A with card D.
Bethan matches card E with card H.
Who is correct? You must sketch a graph to explain your answer. [3]
1
7. Given the value of
√3
1
Sin60° = 2
Sin 30° =
2
Write down the value of:
a. Sin -30° = - ½
b. Sin 120° =
√3
2
c. Sin 300° = -
√3
2
8. Given that Tan45° = 1. Write
down as many values as you can
for x between 400° and 600° such
that tanx = 1 405o…and…5850
Assessment for Learning
0
0
0
46 90
0
314
0
180
0
270
0
360
Sallie
0
0
A Sin46 and D sin314
0
Not Correct Sin46 is a positive value
0
Sin314 is a negative value
-1
1
0
0
0
44 900 136 1800
0
270
0
360
Bethan
0
0
E Sin44 and H sin136
0
0
Correct Sin44 = Sin136
Equal values - Reflection
-1
Video / QR code