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WorksheetsD4(RAH) MASTER THE DAY
Total questions: 101
Worksheet time: 2hrs 41mins
Name
Class
Date
1.
What is the sine of 30°?
a)
1
b)
0
c)
Not defined
d)
0.5
2.
What is the cosine of 60°?
a)
Not defined
b)
0.5
c)
1
d)
0
3.
What is the tangent of 45°?
a)
Not defined
b)
0
c)
1
d)
0.5
4.
What is the value of sin²θ + cos²θ?
a)
0
b)
Not defined
c)
1
d)
2
5.
What is the sine of 90°?
a)
0.5
b)
0
c)
Not defined
d)
1
6.
What is the cosine of 0°?
a)
0
b)
1
c)
Not defined
d)
0.5
7.
What is the tangent of 0°?
a)
Not defined
b)
1
c)
0
d)
0.5
8.
What is the sine of 0°?
a)
0.5
b)
Not defined
c)
0
d)
1
9.
What is the cosine of 90°?
a)
0
b)
Not defined
c)
1
d)
0.5
10.
What is the tangent of 90°?
a)
0
b)
Not defined
c)
1
d)
0.5
11.
In a right-angled triangle, the sine ratio is defined as:
a)
Hypotenuse / Opposite
b)
Opposite / Hypotenuse
c)
Opposite / Adjacent
d)
Adjacent / Hypotenuse
12.
In a right-angled triangle, the cosine ratio is defined as:
a)
Adjacent / Hypotenuse
b)
Hypotenuse / Adjacent
c)
Opposite / Hypotenuse
d)
Adjacent / Opposite
13.
In a right-angled triangle, the tangent ratio is defined as:
a)
Adjacent / Opposite
b)
Opposite / Hypotenuse
c)
Hypotenuse / Opposite
d)
Opposite / Adjacent
14.
What is the cotangent of 45°?
a)
0
b)
Not defined
c)
1
d)
1.414
15.
What is the secant of 0°?
a)
0.5
b)
1
c)
0
d)
Not defined
16.
What is the cosecant of 90°?
a)
Not defined
b)
0
c)
0.5
d)
1
17.
What is the secant of 90°?
a)
1
b)
0
c)
0.5
d)
Not defined
18.
What is the cosecant of 0°?
a)
Not defined
b)
0
c)
1
d)
1
19.
The reciprocal of sine is:
a)
Tangent
b)
Cotangent
c)
Secant
d)
Cosecant
20.
The reciprocal of cosine is:
a)
Tangent
b)
Cotangent
c)
Cosecant
d)
Secant
21.
What is the sine of 45°?
a)
0
b)
1/√2
c)
1
d)
0.5
22.
What is the cosine of 45°?
a)
1/√2
b)
1/2
c)
√3/2
d)
0.5
23.
What is the tangent of 30°?
a)
√3
b)
0.5
c)
1/√3
d)
1
24.
What is the tangent of 60°?
a)
0.5
b)
√3
c)
Not defined
d)
1/√3
25.
What is the sine of 60°?
a)
√3/2
b)
Not defined
c)
1
d)
1/2
26.
What is the cosine of 30°?
a)
Not defined
b)
0.5
c)
1
d)
√3/2
27.
What is the secant of 60°?
a)
1/2
b)
Not defined
c)
1
d)
2
28.
What is the cosecant of 30°?
a)
1
b)
2
c)
√3
d)
Not defined
29.
What is the cotangent of 30°?
a)
1
b)
Not defined
c)
√3
d)
0.5
30.
What is the cotangent of 60°?
a)
1/√3
b)
√3
c)
Not defined
d)
0.5
31.
What is the secant of 30°?
a)
2/√3
b)
Not defined
c)
1
d)
2
32.
What is the cosecant of 60°?
a)
Not defined
b)
1/√3
c)
2
d)
2/√3
33.
The reciprocal of tangent is:
a)
Cotangent
b)
Sine
c)
Cosecant
d)
Secant
34.
The reciprocal of cotangent is:
a)
Secant
b)
Tangent
c)
Cosine
d)
Cosecant
35.
What is the value of sin 0° + cos 90°?
a)
1
b)
Not defined
c)
0.5
d)
0
36.
What is the value of sin 90° - cos 0°?
a)
0.5
b)
Not defined
c)
1
d)
0
37.
What is the value of tan 45° + cot 45°?
a)
2
b)
0.5
c)
1
d)
Not defined
38.
What is the cosecant of 45°?
a)
Not defined
b)
0.5
c)
1
d)
√2
39.
What is the secant of 45°?
a)
1
b)
Not defined
c)
√2
d)
0.5
40.
What is the cotangent of 0°?
a)
0
b)
Not defined
c)
1
d)
1
41.
What is the sine of 120°?
a)
√3/2
b)
-1
c)
0
d)
1/2
42.
What is the cosine of 120°?
a)
-1/2
b)
-√3/2
c)
0
d)
1
43.
What is the sine of 150°?
a)
0
b)
1/2
c)
√3/2
d)
-1
44.
What is the cosine of 150°?
a)
-1/2
b)
1
c)
-√3/2
d)
0
45.
What is the sine of 210°?
a)
-1/2
b)
0
c)
-√3/2
d)
1
46.
What is the cosine of 210°?
a)
0
b)
-√3/2
c)
-1
d)
-1/2
47.
What is the sine of 240°?
a)
-1/2
b)
0
c)
-√3/2
d)
1
48.
What is the cosine of 240°?
a)
-√3/2
b)
-1/2
c)
0
d)
1
49.
What is the sine of 300°?
a)
0
b)
-√3/2
c)
-1/2
d)
1
50.
What is the cosine of 300°?
a)
√3/2
b)
-1
c)
1/2
d)
0
51.
What is the sine of 330°?
a)
-1/2
b)
-√3/2
c)
0
d)
1
52.
What is the cosine of 330°?
a)
0
b)
-1/2
c)
√3/2
d)
-1
53.
Which quadrant is sine positive?
a)
I and III
b)
III and IV
c)
II and III
d)
I and II
54.
Which quadrant is cosine positive?
a)
II and IV
b)
I and II
c)
I and IV
d)
II and III
55.
Which quadrant is tangent positive?
a)
I and II
b)
II and IV
c)
III and IV
d)
I and III
56.
What is the sine of 270°?
a)
-√3/2
b)
-1
c)
0
d)
1
57.
What is the cosine of 270°?
a)
√3/2
b)
1
c)
0
d)
-1
58.
What is the sine of 180°?
a)
-1
b)
1
c)
0
d)
-√3/2
59.
What is the cosine of 180°?
a)
0
b)
√3/2
c)
1
d)
-1
60.
What is the value of tan 180°?
a)
0
b)
1
c)
-1
d)
Undefined
61.
What is the sine of 225°?
a)
1/√2
b)
1/2
c)
-1/√2
d)
-1/2
62.
What is the cosine of 225°?
a)
-1/2
b)
1/√2
c)
-1/√2
d)
1/2
63.
What is the sine of 135°?
a)
1/2
b)
-1/√2
c)
-1/2
d)
1/√2
64.
What is the cosine of 135°?
a)
1/√2
b)
-1/2
c)
-1/√2
d)
1/2
65.
What is the sine of 315°?
a)
-1/√2
b)
-1/2
c)
1/√2
d)
1/2
66.
What is the cosine of 315°?
a)
1/2
b)
-1/√2
c)
-1/2
d)
1/√2
67.
What is the sine of 45° + cos 45°?
a)
1
b)
-√2
c)
√2
d)
0
68.
What is the tangent of 270°?
a)
0
b)
-1
c)
1
d)
Undefined
69.
What is the cotangent of 270°?
a)
-1
b)
Undefined
c)
1
d)
0
70.
What is the secant of 180°?
a)
Undefined
b)
0
c)
-1
d)
1
71.
What is the cosecant of 180°?
a)
0
b)
1
c)
Undefined
d)
1
72.
What is the sine of 360°?
a)
-1
b)
1
c)
Undefined
d)
0
73.
What is the cosine of 360°?
a)
1
b)
0
c)
-1
d)
Undefined
74.
What is the tangent of 360°?
a)
1
b)
0
c)
-1
d)
Undefined
75.
What is the value of sin² 30° + cos² 30°?
a)
0
b)
0.5
c)
Undefined
d)
1
76.
What is the value of sin² 45° + cos² 45°?
a)
Undefined
b)
0.5
c)
0
d)
1
77.
Which function is undefined at 90°?
a)
Cos
b)
Cotangent
c)
Sine
d)
Tangent
78.
Which function is undefined at 270°?
a)
Tangent
b)
Sine
c)
Cotangent
d)
Cosine
79.
In which quadrant is cosine negative and sine positive?
a)
Second
b)
Third
c)
First
d)
Fourth
80.
In which quadrant is tangent negative and cosine positive?
a)
Third
b)
Fourth
c)
First
d)
Second
81.
Which trigonometric function represents the ratio of adjacent to hypotenuse?
a)
Cosine
b)
Cotangent
c)
Tangent
d)
Sine
82.
Which identity is correct? cosec²θ - cot²θ = ?
a)
1
b)
0
c)
cot²θ
d)
cosec²θ
83.
Which identity is correct? sec²θ - tan²θ = ?
a)
tan²θ
b)
1
c)
0
d)
sec²θ
84.
What happens to the trigonometric ratio at odd multiples of 90°?
a)
Ratio doubles
b)
Ratio becomes zero
c)
Sign changes
d)
Sign remains
85.
What happens to the trigonometric ratio at even multiples of 90°?
a)
Sign changes
b)
Ratio becomes infinite
c)
No change
d)
Ratio remains
86.
What is sin(90° + θ)?
a)
-cos θ
b)
tan θ
c)
cos θ
d)
sin θ
87.
What is cos(90° + θ)?
a)
-cos θ
b)
sin θ
c)
-sin θ
d)
tan θ
88.
What is sin(180° + θ)?
a)
-cos θ
b)
-sin θ
c)
cos θ
d)
sin θ
89.
What is cos π?
a)
-1
b)
0
c)
Undefined
d)
1
90.
What is the sum formula for sin(A + B)?
a)
sin A cos B - cos A sin B
b)
cos A cos B - sin A sin B
c)
sin A cos B + cos A sin B
d)
cos A cos B + sin A sin B
91.
What is the sum formula for cos(A + B)?
a)
cos A cos B + sin A sin B
b)
cos A cos B - sin A sin B
c)
sin A cos B + cos A sin B
d)
cos A sin B - sin A cos B
92.
What is the double angle formula for sin(2A)?
a)
1 - 2 sin² A
b)
cos² A - sin² A
c)
2 sin A cos A
d)
cos² A + sin² A
93.
What is the double angle formula for cos(2A)?
a)
cos² A - sin² A
b)
2 cos² A - 1
c)
cos² A + sin² A
d)
1 + 2 sin² A
94.
What is the triple angle formula for sin(3A)?
a)
3 sin A - 4 sin³ A
b)
3 cos A - 4 cos³ A
c)
3 sin A + 4 sin³ A
d)
3 sin A + 4 cos³ A
95.
What is the triple angle formula for cos(3A)?
a)
4 cos³ A + 3 cos A
b)
4 sin³ A + 3 sin A
c)
4 cos³ A - 3 cos A
d)
4 sin³ A - 3 sin A
96.
What is the cosine law of a triangle used to find?
a)
Triangle perimeter
b)
Unknown side or angle
c)
Triangle height
d)
Triangle area
97.
What is the formula for the area of a triangle using trigonometry?
a)
1/2 ab cos C
b)
1/2 a b sin A
c)
ab sin C
d)
1/2 ab sin C
98.
Which trigonometric function is defined as hypotenuse divided by opposite side?
a)
Cosecant
b)
Tangent
c)
Cotangent
d)
Sine
99.
In trigonometry, what is the formula for cotangent in terms of sine and cosine?
a)
Sin θ / Cos θ
b)
Tan θ
c)
1 / Tan θ
d)
Cos θ / Sin θ
100.
Which quadrant has cosine and secant positive, but sine negative?
a)
First
b)
Fourth
c)
Third
d)
Second
101.
Which trigonometric function is positive in all four quadrants?
a)
Cosine
b)
Tangent
c)
None
d)
Sine
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