GB-24-07-001 · Trigonometric graphs
The curve has equation , where x is in degrees.
(a) Write down the maximum value of y.
(b) Find y when x = 0°. Give your answer to 1 decimal place.
Part (a)
Trigonometric Graphs
Booklet p. 87 & p. 88
Method
1) Since −1 ≤ sin x ≤ 1, max value of a sin x + c is a + c
2) Substitute given angle into sin x and evaluate
Worked Example (GB-24-07-001 · Part (a))
Write down the maximum value of y.
1)
-3
Ans =
-3
Part (b)
Trigonometric Graphs
Booklet p. 87 & p. 88
Method
1) Since −1 ≤ sin x ≤ 1, max value of a sin x + c is a + c
2) Substitute given angle into sin x and evaluate
Worked Example (GB-24-07-001 · Part (b))
Find y when x = 0°. Give your answer to 1 decimal place.
1)
-7.0
Ans =
-7.0