Trigonometryhard · Past Paper
If 7 sin^2 theta + 3 cos^2 theta = 4, then tan theta is:
A1/sqrt(2)
B1/sqrt(3)
Csqrt(3)
D1
✓ Correct Answer: B — 1/sqrt(3)
4 sin^2 + 3(sin^2 + cos^2) = 4 => 4 sin^2 + 3 = 4 => sin^2 = 1/4 => sin = 1/2. theta = 30. tan 30 = 1/sqrt(3).
Share this question
More from Trigonometry
- What is the reciprocal of the tangent ratio?
- If the elevation of sun changes from 30 to 60, the shadow of a tower decreases by 10 m. Height?
- Value of tan 0° is:
- From a point on the ground, the angles of elevation of the bottom and top of a transmission tower fixed at the top of a 20 m high building are 45° and 60°. Find the tower height.
- If 3 cos θ = 1, find the value of cosec θ.