Trig Review Extra Credit
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Name: ____________________________________
You must show work on all questions, including multiple choice! You must put your answers in castle
learning AND correct your work. You must have all questions correct to get extra credit!
4.
1.
What is 235°, expressed in radian measure?
1. 235π
2.
Find, to the nearest degree, all values of θ in the
interval 0° ≤ θ ≤ 180° that satisfy the equation 8 cos2
θ – 2 cos θ – 1 = 0. Express your answers in
increasing order.
Answer:
3.
°,
°
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4.
5.
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2.
If csc θ = –2, what is the value of sin θ?
As shown in the accompanying diagram, a dial in the
shape of a semicircle has a radius of 4 centimeters.
Find the measure of in radians, when the pointer
rotates to form an arc whose length is 1.38
centimeters.
1. –2
2. 2
3. –
4.
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radians
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3.
The expression
1. 1
2. sin A
Answer:
is equivalent to
3. sec A
4. csc A
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Trig Review Extra Credit
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6.
8.
In the unit circle shown in the accompanying
diagram, what are the coordinates of (x,y)?
The expression
is equivalent to
1.
2. 2 cos θ
3. 2 cot θ
4. 2 tan θ
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9.
If x is a positive acute angle and cos x =
, what is
the exact value of sin x?
1.
1.
2.
3. (-30, -210)
2.
4.
3.
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4.
7.
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What is the number of degrees in an angle whose
radian measure is
?
10.
If tan θ = 2.7 and csc θ < 0, in which quadrant does θ
lie?
Answer:
°
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1. I
2. II
3. III
4. IV
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Trig Review Extra Credit
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14.
11.
If x is a positive acute angle and sin x =
, what is
sin 2x?
In the interval 0° ≤ A < 360°, solve for all values of A
in the equation cos 2A = –3 sin A – 1. Enter the
values in increasing order.
Answers:
1. -
°,
°
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2.
15.
3. If sin A =
4.
, tan B =
and angles A and B are in
Quadrant I, what is the value of sin (A + B)?
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1.
12.
If θ is an angle in standard position and P(-3,4) is a
point on the terminal side of θ, what is the value of
sin θ?
2. –
3.
1.
4. –
2. -
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3.
16.
4. -
The expression cos 40° cos 10° + sin 40° sin 10° is
equivalent to
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1. cos 30°
2. cos 50°
13.
If θ is a positive acute angle and sin 2θ =
, then
3. sin 30°
4. sin 50°
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(cos θ + sin θ)2 equals
1. 1
2.
3. 30°
4. 60°
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Trig Review Extra Credit
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17.
If sin x =
, cos y =
, and x and y are acute angles,
the value of cos (x – y) is
1.
2.
3. –
4. –
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18.
The value of cos 75° cos 15° – sin 75° sin 15° is
1. 1
2.
3.
4. 0
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19.
If cot (x 10)° = tan (4x)°, a possible value of xis
1. 10
2. 20
3. 30
4. 40
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20.
To the nearest degree, the values of x in the interval
0° ≤ x < 360° that satisfy the equation 6 cos2 x – 7 cos
x + 2 = 0 include all of the following except
1. 48°
2. 60°
3. 132°
4. 312°
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