Trigonometrymedium · Past Paper
If x = a cos theta and y = b sin theta, then b^2 x^2 + a^2 y^2 is equal to:
Aab
Ba^2 b^2
Ca^2 + b^2
D1
✓ Correct Answer: B — a^2 b^2
b^2(a^2 cos^2) + a^2(b^2 sin^2) = a^2 b^2 (cos^2 + sin^2) = a^2 b^2.
Share this question
More from Trigonometry
- Find the value of 1 - cos² 30°.
- A statue 1.6 m tall stands on a pedestal. From a point, the elevation of the top of statue is 60° and pedestal top is 45°. Find pedestal height.
- What is the value of cot 15 + cot 75?
- What is the value of 1 / (1 + tan^2 theta) + 1 / (1 + cot^2 theta)?
- If sin A + sin B + sin C = 4 cos(A/2) cos(B/2) cos(C/2), then A+B+C is: