Welcome to your Grade 9 Mathematics chapter 4
After carefully reading the following 30 questions, choose the correct answer.
1.
In a right-angled triangle, the side opposite to the right angle is called the:
2.
The Pythagoras theorem states that for a right-angled triangle with hypotenuse h, base b, and perpendicular p:
3.
Which of the following sets of numbers can be the sides of a right-angled triangle?
4.
According to Definition 4.2, the sine of an acute angle A is defined as the ratio of:
5.
The trigonometric ratio cosA is defined as:
6.
The ratio of the side opposite to angle A to the side adjacent to angle A is known as:
7.
In a right triangle where one acute angle is A and the sides are BC=1, AB=1, and AC=2, find sinA.
8.
If sinA=3/5, what is the length of the adjacent side if the hypotenuse is 5 units?
9.
Given tanA=1/2, and if the opposite side BC=1, what is the length of the adjacent side AB?
10.
Trigonometric ratios remain unchanged as long as:
11.
If cosA=4/5, find tanA for an acute angle A.
12.
In a triangle with sides a=3, b=1, and c=2 (hypotenuse), what is cosA where A is the angle adjacent to b?
13.
For an acute angle A in a right triangle, which ratio is defined as ABBC?
14.
If the side opposite to angle A is 3 and the adjacent side is 1, find tanA.
15.
The trigonometric ratio sinA remains independent of:
16.
If b2+p2=h2 is not satisfied for three side lengths, the triangle is:
17.
In Figure 4.4, the cosine of angle A is expressed as:
18.
If tanA=1, what is the relationship between the opposite and adjacent sides?
19.
In a right-angled triangle, if sinA=1/2, find cosA.
20.
The abbreviation for "tangent of angle A" is:
21.
In a right-angled triangle, the side adjacent to angle A is:
22.
If AC=5 and BC=3 in a right triangle ABC with right angle at B, find sinA.
23.
What is tanA if sinA=1/2 and cosA=1/2?
24.
The ratio "opposite side / adjacent side" refers to:
25.
How many basic trigonometric ratios are defined in Section 4.2?
26.
In a right triangle, if the hypotenuse is 10 and one acute angle A has sinA=0.6, what is the length of the opposite side?
27.
Which trigonometric ratio is defined as the ratio of the adjacent side to the hypotenuse?
28.
If tanA=3/4, find sinA.
29.
The trigonometric ratio cosA for an angle A in triangle ABC (right-angled at B) is:
30.
If sinA=3/2 and the hypotenuse is 2, find the length of the opposite side.
