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## Trigonometry Review

1.
In $DeltaABC$, $angA$ is a right angle and $mangB=30deg$. If $AB = 30 \ "ft"$, find $AC$.
1. $20sqrt3$ ft
2. $10sqrt3$ ft
3. $60$ ft
4. $3sqrt2$ ft
2.
If side $AB = 15$ and $ang C = 38 deg$ What is the length of $AC$?
1. 24.4
2. 19.2
3. 9.2
4. 19.0
3.
If side $AC = 17$ and $ang C = 12 deg$, what is the length of $BC$ ?
1. 16.6
2. 3.6
3. 17.4
4. 3.5
4.
If side $AB = 15$ and $ang C = 38 deg$, what is the length of $BC$ ?
1. 24.4
2. 19.2
3. 9.2
4. 19.0
5.
If $sin(theta)=7/25$, what is $tan(theta)$?
1. $7/24$
2. $24/25$
3. $7/8$
4. $24/7$
6.
If $tantheta= 5/12$, what is $sin theta$?
1. $12/13$
2. $5/13$
3. $13/5$
4. $12/5$
7.
Given $sin(theta)=7$ and $cos(theta)=1$. Find $tan(theta)$ using the appropriate quotient identity.

8.
The                           is defined as half the difference between the maximum and minimum values of a periodic function.
1. period
2. amplitude
3. phase shift
4. resonance
5. none of these are correct
9.
Secant is the reciprocal of                .
1. sine
2. cosine
3. tangent
4. cosecant
10.
The reciprocal of $sintheta$ is                          .
1. $1/(costheta)$
2. $1/(sectheta)$
3. $1/(cottheta)$
4. $1/(tantheta)$
5. none of these are correct
11.
If $costheta = 20/29$, then what is $csctheta$?
1. $29/20$
2. $21/29$
3. $29/21$
4. $20/21$
12.
If $sin(theta)=24/25$ what is $csc(theta)?$
1. $25/24$
2. $7/24$
3. $24/3$
4. $25/7$
13.
Tangent of $30deg$ is equal to $(sin 30deg)/(cot30deg)$.
1. True
2. False
14.
Simplify. $(csc x tan x - cosx ) \ cotx$
1. $sin x$
2. $cos x$
3. $1$
4. $tan x$
15.
Determine the reference angle for an angle that is in standard position and the terminal side intersects the point $(-6,2)$ (round to one decimal place).
1. $123.7deg$
2. $56.3deg$
3. $47.8deg$
4. $18.4deg$
5. none of these are correct
16.
Given that $0deg < a < 360deg$, then the equation $cos(a) = -1$ has how many solutions?
1. one solution
2. no solutions
3. two solutions
4. three solutions
5. four solutions
17.
If $0deg < a < 360deg$, then the equation $sin(a) = cos(a)$ has how many solutions?
1. no solutions
2. two solutions
3. three solutions
4. one solution
5. four solutions
18.
Which of the following is not equivalent to $cos(pi/5)$?
1. $cos((-pi)/5)$
2. $cos((9pi)/5)$
3. $cos((4pi)/5)$
4. $cos((11pi)/5)$
19.
Evaluate the following:
a) $sin((3pi)/4)$

b) $cos((7pi)/3)$

20.
Which of the following is equal to Cos(186)?
1. Cos(6)
2. Cos(94)
3. Cos(174)
4. -Cos(94)
21.
Which of the following is equal to Sin(721)?
1. Sin(359)
2. Sin(181)
3. Sin(89)
4. Sin(179)
22.
Evaluate. $cot (pi/2)$
1. $sqrt2/2$
2. $1$
3. $0$
4. none of the above
23.
Find $sec(495)$.
1. $-sqrt(2) / 2$
2. $1$
3. $− sqrt2$
4. $-1$
24.
If $AB=17$, $ang C = 26deg$, and $AC= 6$, what is value of $ang B$ ?
1. $3.2 deg$
2. $.4 deg$
3. $1.2 deg$
4. $8.9 deg$
25.
Given $Delta ABC$, where $a=4, b=15, c=13$, find $m ang B$.
1. 112.62°
2. 53.15°
3. 14.25°
4. 97.87°
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