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Mathematics for IGCSE & O level - Pythagoras' Theorem And Trigonometry (Section 5)

1
In a triangle, if a = 6 cm, b = 8 cm, and angle A = 30°, how many possible triangles can be formed?
Answer
(B)
1
2
When should we use the inverse trigonometric functions?
Answer
(A)
When you know the sides and need to find the angle.
3
If you have a right triangle with a hypotenuse of length 10 and one leg of length 6, what is the length of the other leg?
Answer
(B)
8
4
What is the inverse function of sine?
Answer
(A)
sin-1
5
If a triangle has sides of length 3, 4, and 5, what is the cosine of the largest angle?
Answer
(A)
0
6
What is the formula for calculating the area of a triangle?
Answer
(A)
1/2 * base * height
7
What is the range of values for the sine function?
Answer
(A)
-1 to 1
8
Which trigonometric function(s) are needed to solve for the unknown sides of a right angle triangle, given only the angle and the hypotenuse?
Answer
A
B
9
To solve for the length of the side with a known adjacent length and angle, what do we use?
Answer
(C)
Tangent ratio
10
If two angles of a triangle are 30° and 60°, what is the measure of the third angle?
Answer
(C)
90°
11
What does the term 'adjacent' refer to in the context of a right triangle and a given angle?
Answer
(B)
The side next to the given angle (not the hypotenuse)
12
Which of the following statements is/are correct?
Answer
A
B
C
13
What is the relationship between the sides and the angles of a right-angled triangle, as described by Pythagoras and trigonometric ratios?
Answer
(D)
They are inter-related; changing one affects the others.
14
When calculating the area of a triangle, what information do you need?
Answer
A
B
15
Which of the following is equivalent to the tangent of an angle?
Answer
(C)
Opposite / Adjacent
16
What does 'CAH' stand for in SOHCAHTOA?
Answer
(B)
Cosine = Adjacent / Hypotenuse
17
Which of the following statements is true regarding non-right-angled triangles?
Answer
(C)
The sine rule and cosine rule are applicable.
18
If you know the lengths of two sides of a right triangle, how can you find the length of the third side?
Answer
(C)
Use the Pythagorean Theorem
19
In the mnemonic SOHCAHTOA, what does 'TOA' stand for?
Answer
(A)
Tangent = Opposite / Adjacent
20
When using the Law of Cosines, if the included angle is 90 degrees, what does the formula simplify to?
Answer
(A)
a^2 + b^2 = c^2