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Revision Test -01

Created on 6th January 2025

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Grade level: Grade 12th grade

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24 Questions

1. All the questions are compulsory to solve. 2. Read thoroughly before attempting questions to avoid your mistakes. 3. BEST OF LUCK.👍

Questions (24)

1. What is the value of sin^(-1)(0.5)?

30°

4 choice options

2. If A = [[1, 2], [3, 4]], what is the determinant of A?

-2

4 choice options

3. What is the value of cos^(-1)(-1)?

180°

4 choice options

4. Which of the following is the inverse tangent of 1?

45°

4 choice options

5. Calculate the product of the matrices A = [[1, 2], [3, 4]] and B = [[2, 0], [1, 2]].

[5, 4]

4 choice options

6. What is the value of tan^(-1)(√3)?

60°

4 choice options

7. If C = [[1, 0], [0, 1]], what is the inverse of C?

[[1, 0], [0, 1]]

4 choice options

8. Determine the value of sin^(-1)(1).

90°

4 choice options

9. If D = [[2, 1], [1, 3]], what is the trace of D?

5

4 choice options

10. What is the cotangent of 45°?

1

4 choice options

11. What is the value of sin^(-1)(0.5)?

30°

4 choice options

12. Which of the following represents the correct relationship between sin, cos, and tan?

tan(x) = sin(x) / cos(x)

4 choice options

13. If A is a 2x2 matrix with elements [2, 3; 4, 5], what is the determinant of A?

-7

4 choice options

14. Evaluate the expression cos^(-1)(-1).

180°

4 choice options

15. Which of the following is true for the inverse tangent function?

tan^(-1)(1) = 45°

4 choice options

16. What is the inverse cosine of 0?

90°

4 choice options

17. Consider the matrix B = [1, 2; 3, 4]. What is B^2?

[7, 10; 15, 22]

4 choice options

18. What is the range of the function sin^(-1)(x)?

[-π/2, π/2]

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19. If C is a 3x3 matrix, what is the maximum rank it can have?

3

4 choice options

20. Which of these is the correct formula for calculating the inverse of a 2x2 matrix?

1/det(A) * [d, -b; -c, a]

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21. What is the value of tan^(-1)(√3)?

60°

4 choice options

22. If a matrix D has a determinant of 0, what can be said about D?

It is singular

4 choice options

23. Calculate sin^(-1)(1).

90°

4 choice options

24. Which matrix operation is not defined for matrices of different sizes?

Addition

4 choice options