If, tan A = 2 1 and tan B = 3 1 , then find the value of A + B

tan ( A + B ) = 1 − tan A tan B tan A + tan B = 1 − 2 1 ⋅ 3 1 2 1 + 3 1 = 1 ∴ A + B = 4 5 ∘ = 4 π

Mathematics - Trigonometric Ratios & Identities Question with Solution | TestHub

MathematicsTrigonometric Ratios & IdentitiesAddition, Multiplication, Subtraction formula based,Multiple/Submultiple anglesEasy2 minPYQ_2011

MathematicsEasysingle choice

If, $tan A = \frac{1}{2}$ and $tan B = \frac{1}{3}$ , then find the value of $A + B$

Options:

Answer:

Solution:

$tan (A + B) = \frac{tan A + tan B}{1 - tan A tan B} = \frac{\frac{1}{2} + \frac{1}{3}}{1 - \frac{1}{2} \cdot \frac{1}{3}} = 1 ∴ A + B = 4 5^{\circ} = \frac{π}{4}$

Stream:BITSATSubject:MathematicsTopic:Trigonometric Ratios & IdentitiesSubtopic:Addition, Multiplication, Subtraction formula based,Multiple/Submultiple angles

⏱ 2mℹ️ Source: PYQ_2011

Doubts & Discussion

Loading discussions...