Trigonometryhard · Past Paper
If tan θ + cot θ = 2, find the value of tan²θ + cot²θ.
A2
B4
C1
D0
✓ Correct Answer: A — 2
Squaring: (tan+cot)² = tan²+cot²+2(tan*cot) = 4. Since tan*cot=1, tan²+cot² = 4-2 = 2.
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✓ Correct Answer: A — 2
Squaring: (tan+cot)² = tan²+cot²+2(tan*cot) = 4. Since tan*cot=1, tan²+cot² = 4-2 = 2.
Share this question