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# Properties of Trig Functions (sec, csc, cot) (Grades 11-12)

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## Properties of Trig Functions (sec, csc, cot)

1.
The Secant function has a period of
1. $pi$
2. $2pi$
3. $1/2pi$
4. $4pi$
2.
The Secant function is
1. even
2. odd
3. either
4. neither
3.
The Cosecant function has a period of
1. $pi$
2. $2pi$
3. $1/2pi$
4. $4pi$
4.
The Cosecant function is
1. even
2. odd
3. either
4. neither
5.
The Cotangent function has a period of
1. $pi$
2. $2pi$
3. $1/2pi$
4. $4pi$
6.
The Cotangent function is
1. even
2. odd
3. either
4. neither
7.
The period for the function $y=-4+2cot(1/3 x-pi)$ is equal to:
1. $pi$
2. $3pi$
3. $(9pi)/2$
4. $pi/3$
5. none of these are correct
8.
On the graph $y=sec (x-pi/4), x in [-pi,pi]$, the vertical asymptotes are located at $x=$
1. $pi and 2pi$
2. $-pi/2 and pi/2$
3. $-pi/4 and (3pi)/4$
4. $-(3pi)/2 and -pi/4$
5. none of these are correct
9.
What is the period of $y = 5csc(pi/2 x - (3pi)/2) + 1?$
1. $pi/2$
2. $4$
3. $3$
4. $1/2$
10.
What are the locations the vertical asymptotes of $y = 1/2 cot(2x) + 1, \ x in [-pi,pi] ?$
1. $x = 0$
2. $x = -2, -1, 0, 1, 2$
3. $x =-pi, 0, pi$
4. $x = -pi, -pi/2, 0, pi/2, pi$
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