Questions & Answers
Browse all 25 questions from the
Fundamentals of Trigonometry study set below.
Each question shows the correct answer — select a study format above to practice interactively.
1
In a right-angled triangle, what is the side opposite the right angle called?
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A
Adjacent
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B
Hypotenuse
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C
Opposite
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D
Leg
2
Which trigonometric function represents the ratio of the opposite side to the hypotenuse?
-
A
Cosine
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B
Tangent
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C
Sine
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D
Secant
3
What is the sum of the interior angles of any triangle in Euclidean geometry?
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A
90 degrees
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B
180 degrees
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C
270 degrees
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D
360 degrees
4
In a right-angled triangle, the cosine of an angle is the ratio of which two sides?
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A
Adjacent and Hypotenuse
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B
Opposite and Adjacent
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C
Hypotenuse and Opposite
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D
Adjacent and Opposite
5
What does the Pythagorean theorem state for a right triangle with legs a, b and hypotenuse c?
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A
a+b=c
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B
a^2+b^2=c^2
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C
a*b=c
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D
a/b=c
6
The tangent of an angle in a right triangle is the ratio of which two sides?
-
A
Hypotenuse and Adjacent
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B
Adjacent and Opposite
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C
Opposite and Adjacent
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D
Opposite and Hypotenuse
7
What is the value of the sine of 90 degrees?
-
A
0
-
B
0.5
-
C
1
-
D
Undefined
8
How many degrees are in a full circle?
9
What is the standard unit of angular measurement used in trigonometry besides degrees?
-
A
Radians
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B
Meters
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C
Seconds
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D
Grams
10
Which trigonometric function is defined as 1 divided by the sine?
-
A
Cosine
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B
Secant
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C
Cosecant
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D
Cotangent
11
What is the value of the cosine of 0 degrees?
12
In a right triangle, if one angle is 90 degrees and another is 45 degrees, what is the third angle?
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A
30 degrees
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B
45 degrees
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C
60 degrees
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D
90 degrees
13
Which branch of mathematics primarily deals with the relationships between triangle sides and angles?
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A
Algebra
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B
Trigonometry
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C
Calculus
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D
Statistics
14
The term 'trigonometry' is derived from Greek words meaning what?
-
A
Circle measurement
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B
Angle calculation
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C
Triangle measurement
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D
Line division
15
What is the reciprocal of the cosine function?
-
A
Secant
-
B
Cosecant
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C
Cotangent
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D
Sine
16
In the unit circle, what is the maximum value of the sine function?
17
Which side of a right triangle is always the longest?
-
A
The base
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B
The height
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C
The hypotenuse
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D
The adjacent side
18
If an angle is greater than 0 but less than 90 degrees, it is classified as what?
-
A
Obtuse
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B
Right
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C
Acute
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D
Reflex
19
What does the 'S' in the mnemonic SOH-CAH-TOA stand for?
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A
Sine
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B
Secant
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C
Side
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D
Sum
20
What is the value of the tangent of 45 degrees?
-
A
0
-
B
0.5
-
C
1
-
D
Undefined
21
Which trigonometric ratio is equal to the adjacent side divided by the opposite side?
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A
Sine
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B
Cosine
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C
Tangent
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D
Cotangent
22
What are the two legs of a right triangle that form the right angle called?
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A
Hypotenuses
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B
Opposite and Adjacent
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C
Parallel sides
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D
Transversals
23
In a right triangle, the hypotenuse is always opposite to which angle?
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A
The smallest angle
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B
The 45-degree angle
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C
The 90-degree angle
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D
The largest acute angle
24
Which trigonometric function is defined as 1 divided by the tangent?
-
A
Cotangent
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B
Secant
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C
Cosecant
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D
Cosine
25
What is the cosine of 90 degrees?
