Calculus CPE
Trig Review Classwork
Part I: Special Trig values
Fill in chart with the value of each trig function.
x
Sinx Cosx Tanx Cscx Secx Cotx
2π
3
−9π
4
19π
6
11π
2
6π
Part II:
Given one trig value, find the other 5 using right triangles:
1.
2.
tan θ =
8
15
sin θ = _____________
csc θ = _____________
cot θ = ___________
cos θ = _____________
sec θ = _____________
tan θ = ____________
sin θ =
cot θ = ___________
cos θ = _____________
3
4
csc θ = _____________
sec θ = _____________
Part III: Trig angle values
Find the value of θ without a calculator on (0, 2 π ]
3
2
3.
cos θ =
5.
csc θ = 2
4.
cot θ = –1
6.
sin θ =
− 2
2
Part IV: Identities
Simplify the following or rewrite in using an identity.
7.
6sinxcosx
9.
1 + cot 2 (
π
−x)
2
8.
Cos4x
10.
2
−1
sec 2 x
12.
Y = cos3x + 2
13.
Y = -3sin(2x– π )
Part V: Graphs
Graph the following and show 5 key points.
11.
y = 2sin4x
13.
y = 2tan(x+
π
)
4