alleryStart learning →If 4 tan θ = 3, find (4 sin θ − cos θ) / (4 sin θ + cos θ).
A1/2
B2/3
C1/4
D1/3
Answer & Solution
Correct answer: A. 1/2
Dividing top and bottom by cos θ gives (4 tan θ − 1)/(4 tan θ + 1) = 2/4 = 1/2.
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 tan(A + B) = √3 and tan(A − B) = 1/√3, find A.If 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?