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Mathematics for IGCSE & O level - Pythagoras' Theorem And Trigonometry (Section 8)

1
What is the purpose of using trigonometric ratios?
Answer
(D)
All of the above.
2
What is the correct relationship in the Sine Rule?
Answer
(C)
Sides are proportional to the sines of the opposite angles.
3
In a cuboid, given sides a, b, and c, what is the method for finding the length of the space diagonal?
Answer
(C)
√(a² + b² + c²)
4
Which of the following statements are true about angles of elevation and depression?
Answer
A
B
D
5
In triangle ABC, if angle A is 90 degrees, side AB is 3, and side AC is 4, what is the length of side BC?
Answer
(C)
5
6
What does 'bearing' represent in the context of navigation and trigonometry?
Answer
(B)
An angle measured clockwise from North.
7
What is the value of cos(45°)?
Answer
(C)
√2 / 2
8
In the formula for the area of a triangle, Area = 1/2 * a * b * sin C, what does sin(C) mean?
Answer
(A)
The sine of angle C
9
Which of the following equations is equivalent to cos(θ) = Adjacent / Hypotenuse?
Answer
(A)
θ = cos^-1(Adjacent / Hypotenuse)
10
The formula for the area of a triangle is Area = 1/2 * ab * sin C. What does 'C' represent in this formula?
Answer
(C)
The angle between sides a and b