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Home › TS EAMCET › Mathematics › Trigonometry: Trigonometric Ratios upto Transformations › If tan A = 1/2 and tan B = 1/3, then A + B in de…

If tan A = 1/2 and tan B = 1/3, then A + B in degrees is:

A30°
B60°
C90°
D45°
Answer & Solution
Correct answer: D. 45°
tan(A + B) = (1/2 + 1/3)/(1 − 1/6) = (5/6)/(5/6) = 1, so A + B = 45°.
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