Trigonometryhard · Past Paper
If x sin³θ + y cos³θ = sin θ cos θ and x sin θ = y cos θ, then x² + y² is:
A0
B1
C2
D4
✓ Correct Answer: B — 1
Substituting y cos θ for x sin θ in the first equation leads to x² + y² = 1.
Share this question
More from Trigonometry
- A ladder rests against a wall at α to the horizontal. Its foot is pulled a distance 'a' away so it slides 'b' down the wall, making angle β. Find a/b.
- A string of length 200 m is attached to a kite. If the string makes 30° with ground, what is the kite's height?
- What is the product of tan theta and cot theta?
- The angle of elevation of a cloud from a point h meters above a lake is α and the angle of depression of its reflection is β. The height of the cloud is:
- The angle of elevation of the top of a tower from a point is α. On moving distance 'a' towards it, it is 45 and 'b' more, it is 90-α. Height?