Trigonometry Test Review 5
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Trigonometry Review Sheet 1.
A right triangle has a leg with a length of 5 inches and a hypotenuse of 12 inches. What is the length of the third side?
3.
If sec θ = −3, what is the value of
5.
If (csc x – 2)(3 csc x – 2) = 0, then x terminates in which quadrant(s)?
7.
What
cosθ ?
2.
4.
6.
value
of x in the interval 8. satisfies the equation 5 sin x + 2 = 0 ?
0° ≤ x ≤ 180°
9.
Given tan x = 4/6 and csc x < 0, find sin x and sec x
10.
Which is an angle in Quadrant II with a reference angle of 57°?
The expression
csc θ is equivalent to cot θ
If cos θ > 0 and tan θ < 0, in which quadrant does the terminal side of angle θ lie?
If cot θ = 2.7 and sec θ > 0, quadrant does θ lie?
The expression to
in
which
sec 2 x − 1 is equivalent cos 2 x
11.
Given cos θ =
4 and sin θ > 0, find tan θ. 9
12.
Solve. Find all solutions from 0° to 360°. 3tan x = 1
13 .
Find arc sin (1/2)
14.
Solve. Find all solutions from 0° to 360°. 3sin² x + 10 sin x = 8
15 .
Verify
16.
Solve. Find all solutions from 0° to 360°. sec2 θ + sec θ = 2
17.
Verify:
18.
Solve. Find all solutions from 0° to 360°. 3sin x - 4 = −5
sin θ cot θ = cos θ
cot θ (cot θ + tan θ) = csc² θ
Trigonometry Review Sheet 1.
A right triangle has a leg with a length of 5 inches and a hypotenuse of 12 inches. What is the length of the third side?
3.
If sec θ = −3, what is the value of
5.
If (csc x – 2)(3 csc x – 2) = 0, then x terminates in which quadrant(s)?
7.
What
cosθ ?
2.
4.
6.
value
of x in the interval 8. satisfies the equation 5 sin x + 2 = 0 ?
0° ≤ x ≤ 180°
9.
Given tan x = 4/6 and csc x < 0, find sin x and sec x
10.
Which is an angle in Quadrant II with a reference angle of 57°?
The expression
csc θ is equivalent to cot θ
If cos θ > 0 and tan θ < 0, in which quadrant does the terminal side of angle θ lie?
If cot θ = 2.7 and sec θ > 0, quadrant does θ lie?
The expression to
in
which
sec 2 x − 1 is equivalent cos 2 x
11.
Given cos θ =
4 and sin θ > 0, find tan θ. 9
12.
Solve. Find all solutions from 0° to 360°. 3tan x = 1
13 .
Find arc sin (1/2)
14.
Solve. Find all solutions from 0° to 360°. 3sin² x + 10 sin x = 8
15 .
Verify
16.
Solve. Find all solutions from 0° to 360°. sec2 θ + sec θ = 2
17.
Verify:
18.
Solve. Find all solutions from 0° to 360°. 3sin x - 4 = −5
sin θ cot θ = cos θ
cot θ (cot θ + tan θ) = csc² θ
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