Default Title

Question (1)

QN0036821

1. In a right-angled triangle, with respect to an acute angle A, which side is called the hypotenuse?

(A) The side opposite A
(B) The side adjacent to A
(C) The side opposite the right angle
(D) The side forming angle A

Correct Answer: C

Explanation:

The hypotenuse is the side opposite the right angle and is the longest side of a right triangle.

Link:

Report Error

Question (2)

QN0036822

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

(A) tan A = sin A cos A
(B) tan A = cos A/sin A
(C) tan A = sin A/cos A
(D) tan A = 1/(sin A cos A)

Correct Answer: C

Explanation:

tan A = sin A/cos A.

Link:

Report Error

Question (3)

QN0036823

3. Which one of the following is the reciprocal of cos A?

(A) Cosec A
(B) Sec A
(C) Cot A
(D) Tan A

Correct Answer: B

Explanation:

Sec A = 1/cos A, so sec A is the reciprocal of cos A.

Link:

Report Error

Question (4)

QN0036824

4. For an acute angle A, which statement is always true?

(A) sin A > 1
(B) cos A > 1
(C) sin A ≤ 1 and cos A ≤ 1
(D) tan A ≤ 1

Correct Answer: C

Explanation:

Sine and cosine of an acute angle are ratios involving the hypotenuse, so both are at most 1.

Link:

Report Error

Question (5)

QN0036825

5. The value of sin 0° is:

(A) 1
(B) 0
(C) Undefined
(D) 1/2

Correct Answer: B

Explanation:

From the standard-angle values, sin 0° = 0.

Link:

Report Error

Question (6)

QN0036826

6. Which trigonometric ratio is not defined at 90°?

(A) sin 90°
(B) cos 90°
(C) tan 90°
(D) cosec 90°

Correct Answer: C

Explanation:

tan 90° = sin 90°/cos 90° = 1/0, which is not defined.

Link:

Report Error

Question (7)

QN0036827

7. The value of sec 0° is:

(A) 0
(B) 1
(C) Undefined
(D) 1/2

Correct Answer: B

Explanation:

sec 0° = 1/cos 0° = 1.

Link:

Report Error

Question (8)

QN0036828

8. Which identity is valid for an acute angle A?

(A) sin²A − cos²A = 1
(B) sin²A + cos²A = 1
(C) sin A + cos A = 1
(D) tan²A − sec²A = 1

Correct Answer: B

Explanation:

The fundamental trigonometric identity is sin²A + cos²A = 1.

Link:

Report Error

Question (9)

QN0036829

9. Which of the following is correct?

(A) 1 + tan²A = cosec²A
(B) 1 + cot²A = sec²A
(C) 1 + tan²A = sec²A
(D) 1 − tan²A = sec²A

Correct Answer: C

Explanation:

The identity is 1 + tan²A = sec²A.

Link:

Report Error

Question (10)

QN0036830

10. The value of tan 45° is:

(A) 0
(B) 1/√3
(C) 1
(D) √3

Correct Answer: C

Explanation:

At 45°, the opposite and adjacent sides are equal, so tan 45° = 1.

Link:

Report Error

Question (1)

1. In a right-angled triangle, with respect to an acute angle A, which side is called the hypotenuse?

Explanation:

Link:

Question (2)

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

Explanation:

Link:

Question (3)

3. Which one of the following is the reciprocal of cos A?

Explanation:

Link:

Question (4)

4. For an acute angle A, which statement is always true?

Explanation:

Link:

Question (5)

5. The value of sin 0° is:

Explanation:

Link:

Question (6)

6. Which trigonometric ratio is not defined at 90°?

Explanation:

Link:

Question (7)

7. The value of sec 0° is:

Explanation:

Link:

Question (8)

8. Which identity is valid for an acute angle A?

Explanation:

Link:

Question (9)

9. Which of the following is correct?

Explanation:

Link:

Question (10)

10. The value of tan 45° is:

Explanation:

Link:

Excel With Tutors

ExcelWithTutors

For Student

For Tutors

Learn

OUR POLICY