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).
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