50 MCQ on Trigonometry Answer with explanation

1 . What is the value of sin(0)?

A) 0

B) 1

C) -1

D) Undefined

Answer: A) 0

Explanation: The sine of 0 degrees is 0.

2 . What is the value of cos(90)?

A) 0

B) 1

C) -1

D) Undefined

Answer: C) -1

Explanation: The cosine of 90 degrees is -1.

3 . What is the value of tan(45)?

A) 0

B) 1

C) -1

D) Undefined

Answer: B) 1

Explanation: The tangent of 45 degrees is 1.

4 . What is the value of sec(30)?

A) 2

B) 1/2

C) sqrt(3)

D) 1/sqrt(3)

Answer: A) 2

Explanation: The secant of 30 degrees is equal to 1/cos(30) = 2.

5 . What is the value of csc(60)?

A) 2

B) 1/2

C) sqrt(3)

D) 1/sqrt(3)

Answer: C) sqrt(3)

Explanation: The cosecant of 60 degrees is equal to 1/sin(60) = sqrt(3).

6 . What is the value of cot(0)?

A) 0

B) 1

C) -1

D) Undefined

Answer: D) Undefined

Explanation: The cotangent of 0 degrees is undefined, as it is equal to cos(0)/sin(0), which gives a division by 0 error.

7 . What is the value of sin(30)?

A) 0

B) 1/2

C) -1/2

D) 1

Answer: B) 1/2

Explanation: The sine of 30 degrees is 1/2.

8 . What is the value of cos(60)?

A) 0

B) 1/2

C) -1/2

D) 1

Answer: B) 1/2

Explanation: The cosine of 60 degrees is 1/2.

9 . What is the value of tan(60)?

A) 0

B) 1/2

C) -1/2

D) sqrt(3)

Answer: D) sqrt(3)

Explanation: The tangent of 60 degrees is sqrt(3).

10 . What is the value of sec(45)?

A) 0

B) 1/2

C) sqrt(2)

D) 2

Answer: C) sqrt(2)

Explanation: The secant of 45 degrees is equal to 1/cos(45) = sqrt(2).

11 . What is the value of csc(30)?

A) 0

B) 1/2

C) 2

D) sqrt(3)

Answer: C) 2

Explanation: The cosecant of 30 degrees is equal to 1/sin(30) = 2.

12 .What is the value of cot(45)?

A) 0

B) 1/2

C) 1

D) sqrt(2)

Answer: C) 1

Explanation: The cotangent of 45 degrees is equal to 1.

13 . What is the value of cos(30)?

A) 0

B) 1/2

C) -1/2

D) sqrt(3)/2

Answer: B) 1/2

Explanation: The cosine of 30 degrees is 1/2.

14 . What is the value of tan(30)?

A) 0

B) 1/2

C) -1/2

D) sqrt(3)/3

Answer: D) sqrt(3)/3

Explanation: The tangent of 30 degrees is sqrt(3)/3.

15 . What is the value of sec(60)?

A) 0

B) 1/2

C) 2

D) sqrt(3)

Answer: C) 2

Explanation: The secant of 60 degrees is equal to 1/cos(60) = 2.

16 . What is the value of csc(45)?

A) 0

B) 1/2

C) 1

D) sqrt(2)

Answer: D) sqrt(2)

Explanation: The cosecant of 45 degrees is equal to 1/sin(45) = sqrt(2).

17 . What is the value of cot(60)?

A) 0

B) 1/2

C) sqrt(3)/2

D) 1/sqrt(3)

Answer: C) sqrt(3)/2

Explanation: The cotangent of 60 degrees is equal to 1/tan(60) = sqrt(3)/2.

18 . What is the value of sin(60)?

A) 0

B) 1/2

C) -1/2

D) sqrt(3)/2

Answer: D) sqrt(3)/2

Explanation: The sine of 60 degrees is sqrt(3)/2.

19 . What is the value of cos(45)?

A) 0

B) 1/2

C) -1/2

D) sqrt(2)/2

Answer: D) sqrt(2)/2

Explanation: The cosine of 45 degrees is sqrt(2)/2.

20 . What is the value of tan(45)?

A) 0

B) 1/2

C) 1

D) sqrt(2)

Answer: C) 1

Explanation: The tangent of 45 degrees is equal to 1.

21 . What is the value of sec(90)?

A) 0

B) 1

C) -1

D) Undefined

Answer: C) -1

Explanation: The secant of 90 degrees is equal to 1/cos(90) = -1.

22 . What is the value of csc(90)?

A) 0

B) 1

C) -1

D) Undefined

Answer: D) Undefined

Explanation: The cosecant of 90 degrees is equal to 1/sin(90), which gives a division by 0 error.

23 . What is the value of cot(90)?

A) 0

B) 1

C) -1

D) Undefined

Answer: D) Undefined

Explanation: The cotangent of 90 degrees is equal to cos(90)/sin(90), which gives a division by 0 error.

24 . What is the value of sin(90)?

A) 0

B) 1

C) -1

D) Undefined

Answer: B) 1

Explanation: The sine of 90 degrees is equal to 1

25 . What is the value of cos(60)?

A) 0

B) 1/2

C) -1/2

D) 1/2

Answer: D) 1/2

 Explanation: The cosine of 60 degrees is equal to 1/2.

26 .What is the value of tan(60)?

A) 0

B) 1/2

C) sqrt(3)/3

D) sqrt(3)

Answer: D) sqrt(3)

Explanation: The tangent of 60 degrees is equal to sqrt(3).

27 . What is the value of sec(30)?

A) 0

B) 1/2

C) 2

D) 1/sqrt(3)

Answer: C) 2

Explanation: The secant of 30 degrees is equal to 1/cos(30) = 2.

28 . What is the value of csc(60)?

A) 0

B) 1/2

C) 1

D) 2

Answer: C) 1

Explanation: The cosecant of 60 degrees is equal to 1/sin(60) = 1.

29 . What is the value of cot(30)?

A) 0

B) 1/2

C) sqrt(3)/3

D) sqrt(3)

Answer: C) sqrt(3)/3

Explanation: The cotangent of 30 degrees is equal to 1/tan(30) = sqrt(3)/3.

30 . What is the value of sin(45)?

A) 0

B) 1/2

C) -1/2

D) sqrt(2)/2

Answer: D) sqrt(2)/2

Explanation: The sine of 45 degrees is equal to sqrt(2)/2.

31 . What is the value of cos(30)?

A) 0

B) 1/2

C) -1/2

D) sqrt(3)/2

Answer: B) 1/2

Explanation: The cosine of 30 degrees is equal to 1/2.

32 . What is the value of tan(45)?

A) 0

B) 1/2

C) 1

D) sqrt(2)

Answer: C) 1

Explanation: The tangent of 45 degrees is equal to 1.

33 . What is the value of sec(45)?

A) 0

B) 1/2

C) sqrt(2)/2

D) 2

Answer: C) sqrt(2)/2

Explanation: The secant of 45 degrees is equal to 1/cos(45) = sqrt(2)/2.

34 . What is the value of csc(30)?

A) 0

B) 1/2

C) 2

D) 1/sqrt(3)

Answer: C) 2

Explanation: The cosecant of 30 degrees is equal to 1/sin(30) = 2.

35 . What is the value of cot(45)?

A) 0

B) 1/2

C) 1

D) sqrt(2)

Answer: C) 1

Explanation: The cotangent of 45 degrees is equal to 1.

36 . What is the value of cos(120)?

A) -1/2

B) sqrt(3)/2

C) -sqrt(3)/2

D) 1/2

Answer: A) -1/2

Explanation: The cosine of 120 degrees is equal to -1/2.

37 .What is the value of tan(120)?

A) -sqrt(3)

B) -1/sqrt(3)

C) sqrt(3)

D) 1/sqrt(3)

Answer: B) -1/sqrt(3)

Explanation: The tangent of 120 degrees is equal to -sqrt(3)/3.

38 . What is the value of sec(150)?

A) -2

B) -1/2

C) 1/2

D) 2

Answer: B) -1/2

Explanation: The secant of 150 degrees is equal to 1/cos(150) = -1/2.

39 . What is the value of csc(120)?

A) -2/sqrt(3)

B) -2

C) 2/sqrt(3)

D) 2

Answer: A) -2/sqrt(3)

Explanation: The cosecant of 120 degrees is equal to 1/sin(120) = -2/sqrt(3).

40 . What is the value of cot(150)?

A) -sqrt(3)

B) -1/sqrt(3)

C) sqrt(3)

D) 1/sqrt(3)

Answer: B) -1/sqrt(3)

Explanation: The cotangent of 150 degrees is equal to 1/tan(150) = -sqrt(3)/3.

41 . What is the value of sin(150)?

A) -1/2

B) sqrt(3)/2

C) -sqrt(3)/2

D) 1/2

Answer: B) sqrt(3)/2

Explanation: The sine of 150 degrees is equal to sqrt(3)/2.

42 . What is the value of cos(210)?

A) -1/2

B) sqrt(3)/2

C) -sqrt(3)/2

D) 1/2

Answer: A) -1/2

Explanation: The cosine of 210 degrees is equal to -1/2.

43. What is the value of tan(210)?

A) -sqrt(3)

B) -1/sqrt(3)

C) sqrt(3)

D) 1/sqrt(3)

Answer: C) sqrt(3)

Explanation: The tangent of 210 degrees is equal to sqrt(3).

44  . What is the value of sec(240)?

A) -2

B) -1/2

C) 1/2

D) 2

Answer: A) -2

Explanation: The secant of 240 degrees is equal to 1/cos(240) = -2.

45 . What is the value of csc(210)?

A) -2/sqrt(3)

B) -2

C) 2/sqrt(3)

D) 2

Answer: A) -2/sqrt(3)

Explanation: The cosecant of 210 degrees is equal to 1/sin(210) = -2/sqrt(3).

46 . What is the value of sin(300)?

A) -1/2

B) sqrt(3)/2

C) -sqrt(3)/2

D) 1/2

Answer: C) -sqrt(3)/2

Explanation: The sine of 300 degrees is equal to -sqrt(3)/2.

47 . What is the value of cos(330)?

A) -1/2

B) sqrt(3)/2

C) -sqrt(3)/2

D) 1/2

Answer: A) -1/2

Explanation: The cosine of 330 degrees is equal to -1/2.

48 . What is the value of tan(300)?

A) -sqrt(3)

B) -1/sqrt(3)

C) sqrt(3)

D) 1/sqrt(3)

Answer: B) -1/sqrt(3)

Explanation: The tangent of 300 degrees is equal to -sqrt(3)/3.

49 . What is the value of sec(300)?

A) -2

B) -1/2

C) 1/2

D) 2

Answer: B) -1/2

Explanation: The secant of 300 degrees is equal to 1/cos(300) = -1/2.

50 . What is the value of csc(450)?

A) Undefined

B) -2

C) 2

D) 1

Answer: A) Undefined

Explanation: The cosecant of 450 degrees is equal to 1/sin(450).

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