QQuestion
If tan 2A = cot(A – 30°), then find the value of sec(A + 20°)
WBBSEClass 10MathematicsTrigonometric Ratio of Complementary Angle02 Mark2023 Moderate
✓Answer
tan2A = cot(A − 30°),
We have tan2A = cot(A − 30°)
⇒ cot(90° − 2A) = cot(A − 30°),
⇒ (90° − 2A) = (A − 30°),
⇒ A = 40°
∴ Sec (A + 20°) = 40° + 20°
Sec (60°) = 2
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