Grade 10 Mathematics chapter 4

Welcome to your Grade 10 Mathematics chapter 4

After carefully reading the following 30 questions, choose the correct answer.

1. 
What is defined as the amount of rotation performed to get the terminal side from the initial side?

2. 
If the direction of rotation of an angle is clockwise, the angle is said to be:

3. 
An angle is in standard position if its vertex is at the origin and its initial side lies on the:

4. 
One sixtieth of a degree is called a:

5. 
How many radians are equivalent to 180 degrees?

6. 
In a circle of radius r, what is the length of an arc l that subtends an angle θ in radians?

7. 
To convert degree measure to radian measure, which formula is used?

8. 
What is the radian measure of a 90∘ angle?

9. 
In a right-angled triangle, the sine of an acute angle α is defined as the ratio of:

10. 
The tangent of an angle α in a right-angled triangle is the ratio of:

11. 
What is the value of cos2x+sin2x for any angle x?

12. 
A circle with a radius of 1 unit and center at the origin is called:

13. 
What is the degree equivalent of 4π/3 radians?

14. 
If a point P(x,y) is on the unit circle, then x is equal to:

15. 
The word "trigonometry" is derived from Greek words meaning:

16. 
What is the value of sin30∘?

17. 
If cosθ=1/2 in a right triangle, what is the value of the angle θ?

18. 
One complete revolution of the initial side subtends an angle of how many radians?

19. 
In the coordinate system, if the rotation is anticlockwise, the angle is:

20. 
A degree is divided into how many minutes?

21. 
What is the length of the side adjacent to angle A if the hypotenuse is 1 unit and the angle is A?

22. 
An angle at the center of a circle subtended by an arc of length r is:

23. 
Which trigonometric function is defined as the ratio of y/x for a point P(x,y) on the terminal side?

24. 
What is the radian measure of 270∘?

25. 
In a right-angled triangle, the hypotenuse is the side:

26. 
What is the value of tan45∘?

27. 
Convert 120∘ into radians.

28. 
The point of rotation of an angle is called the:

29. 
Which of these is a common unit for measurement of an angle?

30. 
The terminal side is the:

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