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# Properties of Trig Functions (sin, cos, tan) (Grades 11-12)

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## Properties of Trig Functions (sin, cos, tan)

1.
The Sine function has a period of
1. $pi$
2. $2pi$
3. $1/2pi$
4. $4pi$
2.
The Sine function is
1. even
2. odd
3. either
4. neither
3.
The Cosine function has a period of
1. $pi$
2. $2pi$
3. $1/2pi$
4. $4pi$
4.
The Cosine function is
1. even
2. odd
3. either
4. neither
5.
The Tangent function has a period of
1. $pi$
2. $2pi$
3. $1/2pi$
4. $4pi$
6.
The Tangent function is
1. even
2. odd
3. either
4. neither
7.
State the amplitude of the function $y=1/3cos(x-2)$:
1. $1/3$
2. $pi$
3. $-2$
4. $-pi$
5. none of these are correct
8.
Given the domain $-pi < x < pi$, at what interval(s) is the function $f(x)=cos(2x)$ negative?
1. $-3/4pi < x < -1/4pi, 1/4pi < x < 3/4pi$
2. $-pi < x < 0,0 < x < pi$
3. $-1/2pi < x < 1/2 pi$
4. $-1/2pi < x <0,1/2pi< x< pi$
9.
Given the domain $-pi < x < pi$, at what interval(s) is the function $f(x)=sinx$ negative?
1. $0 < x < pi$
2. $-pi < x < 0$
3. $-1/2pi < x < 1/2 pi$
4. $-pi < x <-1/2pi,1/2pi< x< pi$
10.
Where are the vertical asymptotes located for $y = 2tan(x-pi/2) - 1, \ x in [-pi,pi]?$
1. No asymptotes in this region
2. $x=0$
3. $x=-pi/2,pi/2$
4. $x=-pi,0,pi$
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