MHF 4U – Trigonometric Functions
Date: ___________________
Graphs of Trigonometric Functions
Example 1
𝒙
Complete the table below and plot the points on the graph below the table.
𝝅
𝟔
𝟎
𝝅
𝟑
𝝅
𝟐
𝟐𝝅
𝟑
𝟓𝝅
𝟔
𝝅
𝟕𝝅
𝟔
𝟒𝝅
𝟑
𝟑𝝅
𝟐
𝟓𝝅
𝟑
𝟏𝟏𝝅
𝟔
𝟐𝝅
𝐬𝐢𝐧 𝒙
𝐜𝐬𝐜 𝒙
Example 2
Fill in the table below
𝒚 = 𝐬𝐢𝐧 𝒙
𝒚 = 𝐜𝐬𝐜 𝒙
Domain
Range
Maximum Value
Minimum Value
Period
Amplitude
𝑥-intercepts (zeros)
𝑦-intercepts
1
MHF 4U – Trigonometric Functions
Example 3
𝒙
Complete the table below and plot the points on the graph below the table.
𝝅
𝟔
𝟎
Date: ___________________
𝝅
𝟑
𝝅
𝟐
𝟐𝝅
𝟑
𝟓𝝅
𝟔
𝝅
𝟕𝝅
𝟔
𝟒𝝅
𝟑
𝟑𝝅
𝟐
𝟓𝝅
𝟑
𝟏𝟏𝝅
𝟔
𝟐𝝅
𝐜𝐨𝐬 𝒙
𝐬𝐞𝐜 𝒙
Example 4
Fill in the table below
𝒚 = 𝐜𝐨𝐬 𝒙
𝒚 = 𝐬𝐞𝐜 𝒙
Domain
Range
Maximum Value
Minimum Value
Period
Amplitude
𝑥-intercepts (zeros)
𝑦-intercepts
2
MHF 4U – Trigonometric Functions
Example 5
𝒙
Complete the table below and plot the points on the graph below the table.
𝝅
𝟔
𝟎
Date: ___________________
𝝅
𝟒
𝝅
𝟑
𝝅
𝟐
𝟐𝝅
𝟑
𝟑𝝅
𝟒
𝟓𝝅
𝟔
𝝅
𝟕𝝅
𝟔
𝟓𝝅
𝟒
𝟒𝝅
𝟑
𝟑𝝅
𝟐
𝟓𝝅
𝟑
𝟕𝝅
𝟒
𝟏𝟏𝝅
𝟐𝝅
𝟔
𝐭𝐚𝐧 𝒙
𝐜𝐨𝐭 𝒙
Example 6
Fill in the table below
𝒚 = 𝐭𝐚𝐧 𝒙
𝒚 = 𝐜𝐨𝐭 𝒙
Domain
Range
Maximum Value
Minimum Value
Period
Amplitude
𝑥-intercepts (zeros)
𝑦-intercepts
3