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Unit 1: Fundamentals of trigonometry - Practice Quiz

MTH110 — Remedial Mathematics 60 Questions

0 Correct 0 Wrong 60 Left

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1 $In a right-angled triangle, is defined as the ratio of which two sides?$

trigonometric ratios Easy

A.

B.

C.

D.

2 $Which trigonometric ratio is the reciprocal of ?$

trigonometric ratios Easy

A.

B.

C.

D.

3 $The ratio can be written in terms of sine and cosine as:$

trigonometric ratios Easy

A.

B.

C.

D.

4 $What is the value of ?$

trigonometric ratios of some specific angles Easy

A.

B.

C.

D.

5 $What is the value of ?$

trigonometric ratios of some specific angles Easy

A.

B.

C.

D.

6 $What is the value of ?$

trigonometric ratios of some specific angles Easy

A.

B.

C.

D.

7 $What is the value of ?$

trigonometric ratios of some specific angles Easy

A.

B.

C.

D.

8 $What is the value of ?$

trigonometric ratios of some specific angles Easy

A.

B.

C.

D.

9 $Which of the following is the fundamental Pythagorean identity?$

trigonometric identities Easy

A.

B.

C.

D.

10 $The identity is equal to:$

trigonometric identities Easy

A.

B.

C.

D.

11 $The identity is equal to:$

trigonometric identities Easy

A.

B.

C.

D.

12 $For which quadrant are all trigonometric functions positive?$

trigonometric functions Easy

A.

Second quadrant

B.

First quadrant

C.

Fourth quadrant

D.

Third quadrant

13 $Which of the following trigonometric functions is an odd function?$

trigonometric functions Easy

A.

B.

C.

D.

14 $What is the period of the function ?$

trigonometric functions Easy

A.

B.

C.

D.

15 $How many radians are equal to ?$

relation between radian and real numbers Easy

A.

B.

C.

D.

16 $The angle expressed in radians is:$

relation between radian and real numbers Easy

A.

B.

C.

D.

17 $What is the range of the function ?$

domain and range of trigonometric functions Easy

A.

B.

C.

D.

18 $What is the domain of the function ?$

domain and range of trigonometric functions Easy

A.

B.

Only positive real numbers

C.

D.

All real numbers

19 $Which formula correctly gives ?$

trigonometric functions of sum and difference of two angles Easy

A.

B.

C.

D.

20 $Which formula correctly gives ?$

trigonometric functions of sum and difference of two angles Easy

A.

B.

C.

D.

21 $In a right triangle, if and is acute, what is the value of ?$

trigonometric ratios Medium

A.

B.

C.

D.

22 $If and is acute, what is the value of ?$

trigonometric ratios Medium

A.

B.

C.

D.

23 $What is the value of ?$

trigonometric ratios of some specific angles Medium

A.

B.

C.

D.

24 $Evaluate .$

trigonometric ratios of some specific angles Medium

A.

B.

C.

D.

25 $What is the value of ?$

trigonometric ratios of some specific angles Medium

A.

B.

C.

D.

26 $Simplify .$

trigonometric identities Medium

A.

B.

C.

D.

27 $If, what is the value of ?$

trigonometric identities Medium

A.

B.

C.

D.

28 $The expression simplifies to:$

trigonometric identities Medium

A.

B.

C.

D.

29 $Simplify .$

trigonometric identities Medium

A.

B.

C.

D.

30 $What is the exact value of ?$

trigonometric functions of sum and difference of two angles Medium

A.

B.

C.

D.

31 $If and, where and are acute, what is ?$

trigonometric functions of sum and difference of two angles Medium

A.

B.

C.

D.

32 $The value of when and is:$

trigonometric functions of sum and difference of two angles Medium

A.

B.

C.

D.

33 $Simplify .$

trigonometric functions of sum and difference of two angles Medium

A.

B.

C.

D.

34 $Convert into radian measure.$

relation between radian and real numbers Medium

A.

B.

C.

D.

35 $A circle of radius cm has an arc subtending an angle of radians at the centre. What is the length of the arc?$

relation between radian and real numbers Medium

A.

cm

B.

cm

C.

cm

D.

cm

36 $The radian measure corresponds to which angle in degrees?$

relation between radian and real numbers Medium

A.

B.

C.

D.

37 $What is the range of the function ?$

domain and range of trigonometric functions Medium

A.

B.

C.

D.

38 $For which values of is the function undefined?$

domain and range of trigonometric functions Medium

A.

B.

C.

D.

39 $The range of the function is:$

domain and range of trigonometric functions Medium

A.

B.

C.

D.

40 $If and lies in the third quadrant, what is the value of ?$

trigonometric functions Medium

A.

B.

C.

D.

41 $If, then the value of is:$

trigonometric identities Hard

A.

B.

C.

D.

42 $If and, then equals:$

trigonometric functions of sum and difference of two angles Hard

A.

B.

C.

D.

43 $The expression simplifies to:$

trigonometric identities Hard

A.

B.

C.

D.

44 $The exact value of is:$

trigonometric ratios of some specific angles Hard

A.

B.

C.

D.

45 $The range of the function is:$

domain and range of trigonometric functions Hard

A.

B.

C.

D.

46 $A circular wire of radius cm is cut and bent to lie along the circumference of a circle of radius cm. The angle subtended at the centre of the larger circle is:$

relation between radian and real numbers Hard

A.

radian

B.

radian

C.

radian

D.

radian

47 $If, then equals:$

trigonometric identities Hard

A.

B.

C.

D.

48 $The value of is:$

trigonometric functions of sum and difference of two angles Hard

A.

B.

C.

D.

49 $If, then the value of (for a positive integer) is:$

trigonometric identities Hard

A.

B.

C.

D.

50 $The domain of the function is:$

domain and range of trigonometric functions Hard

A.

B.

C.

D.

51 $If, then equals:$

trigonometric functions of sum and difference of two angles Hard

A.

B.

C.

D.

52 $If, then equals:$

trigonometric ratios Hard

A.

B.

C.

D.

53 $The value of (assuming denominators nonzero) is:$

trigonometric identities Hard

A.

B.

C.

D.

54 $The range of is:$

domain and range of trigonometric functions Hard

A.

B.

C.

D.

55 $The value of is:$

trigonometric functions of sum and difference of two angles Hard

A.

B.

C.

D.

56 $The period of the function is:$

trigonometric functions Hard

A.

B.

C.

D.

57 $The value of is:$

trigonometric ratios of some specific angles Hard

A.

B.

C.

D.

58 $If, then equals:$

trigonometric identities Hard

A.

B.

C.

D.

59 $The angle between the hour hand and minute hand of a clock at expressed in radians is:$

relation between radian and real numbers Hard

A.

B.

C.

D.

60 $If and, where is acute and is acute, then equals:$

trigonometric functions of sum and difference of two angles Hard

A.

B.

C.

D.