alleryStart learning →If tan(A + B) = √3 and tan(A − B) = 1/√3, find A.
A60°
B15°
C45°
D30°
Answer & Solution
Correct answer: C. 45°
A + B = 60° and A − B = 30°, so A = 45°.
Keep practising Trigonometry
Browse all Trigonometry questions for SSC CGL, or explore more Quantitative Aptitude topics.
Related questions
From the top of a 90 m tower the angle of depression of a boat is 60°. How far is the boatA pole is broken so its top touches the ground 6 m from the base at 30° to the ground. FinIf sin(A + B) = 1 and cos(A − B) = √3/2 for acute angles, find A and B.Evaluate sin 90° + cos 0° + tan 45°.In a right triangle, cot θ is the ratio ofUsing cos²θ = (1 + cos 2θ)/2, find cos²15°.What is the minimum value of sec²θ + cosec²θ?What is the smallest positive period of tan θ in degrees?