Trigonometry basic, Geometry basic - One Line Questions
1.
What is the value of cos(180°)? —
-1
2.
What is the value of sin(0°)? —
0
3.
What is the value of cos(90°)? —
0
4.
What is the value of tan(45°)? —
1
5.
What is the value of sin(90°)? —
1
6.
What is the value of cos(0°)? —
1
7.
What is the value of tan(90°)? —
Undefined
8.
What is the value of sin(180°)? —
0
9.
What is the value of tan(180°)? —
0
10.
What is the value of sin(270°)? —
-1
11.
What is the value of cos(270°)? —
0
12.
What is the value of tan(270°)? —
Undefined
13.
What is the value of sin(360°)? —
0
14.
What is the value of cos(360°)? —
1
15.
What is the value of tan(360°)? —
0
16.
If the angle of elevation of the sun is 45°, what is the ratio of the height of a vertical object to its shadow length? —
1:1
17.
What is the value of tan(60°)? —
√3
18.
What is the value of sin(30°)? —
1/2
19.
What is the value of cos(60°)? —
1/2
20.
What is the value of tan(30°)? —
1/√3
21.
What is the value of sin(60°)? —
√3/2
22.
What is the value of cos(30°)? —
√3/2
23.
What is the value of sin(45°)? —
1/√2
24.
What is the value of cos(45°)? —
1/√2
25.
In any triangle ABC, the sine rule states that a/sin(A) = b/sin(B) = c/sin(C) is equal to: —
2R (where R is the circumradius)
26.
In a right-angled triangle, if one acute angle is 30 degrees, what is the measure of the other acute angle? —
60 degrees
27.
If sin(θ) = 3/5, what is the value of cos(θ) in a right-angled triangle where θ is acute? —
4/5
28.
In a right-angled triangle, the sides are in the ratio 3:4:5. If the smallest side is 6 cm, what is the length of the hypotenuse? —
12 cm
29.
The sum of the interior angles of a triangle is always: —
180 degrees
30.
If a chord of a circle subtends an angle of 90° at the center, it is: —
A diameter
31.
If an angle in a triangle is 90 degrees, it is called a: —
Right-angled triangle
32.
If a triangle has one angle greater than 90 degrees, it is called a(n): —
Obtuse triangle
33.
In a parallelogram, opposite angles are: —
Always equal
34.
If two lines intersect, the vertically opposite angles are: —
Always equal
35.
In a circle, a radius is a line segment connecting the center to: —
Another point on the circumference
36.
What is the area of a triangle with base 'b' and height 'h'? —
1/2 * b * h
37.
In a circle, the angle subtended by an arc at the center is double the angle subtended by the same arc at any point on the: —
Circumference
38.
What is the ratio of the side opposite to an angle to the hypotenuse in a right-angled triangle? —
Sine
39.
Which trigonometric ratio is the reciprocal of sine? —
Cosecant
40.
In a triangle, if two sides are equal, then the angles opposite to these sides are: —
Equal
41.
If two parallel lines are intersected by a transversal, the alternate interior angles are: —
Equal
42.
If a triangle has sides of length 3, 4, and 5 units, what type of triangle is it? —
Right-angled
43.
In a triangle, if a line is drawn parallel to one side, it divides the other two sides proportionally. This is the: —
Basic Proportionality Theorem
44.
If a triangle has all angles less than 90 degrees, it is called a(n): —
Acute triangle
45.
What is the fundamental trigonometric identity relating sine and cosine? —
sin²θ + cos²θ = 1
46.
The identity 1 + tan²θ = sec²θ is derived from which fundamental identity? —
sin²θ + cos²θ = 1
47.
Which trigonometric ratio is the reciprocal of tangent? —
Cotangent
48.
Which trigonometric ratio is the reciprocal of cosine? —
Secant
49.
The ratio of the side adjacent to an angle to the hypotenuse in a right-angled triangle is: —
Cosine
50.
The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse is equal to: —
The sum of the squares of the other two sides