Trigonometrymedium · Past Paper

If tan theta + cot theta = 2, find tan^2 theta + cot^2 theta.

A4
B2
C1
D0

✓ Correct Answer: B2

Squaring both sides: tan^2 + cot^2 + 2(tan)(cot) = 4. Since tan*cot = 1, tan^2 + cot^2 = 4 - 2 = 2.

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