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As per Section 165 of Companies Act, 2013, a person can be a director of maximum 20 companies at same time (including any alternate directorships). Within this limit, he/she can be a director of maximum 10 public companies. Further the members of a company may restrict abovementioned limit by passing a special resolution.
If sin(x + y) = 3/5 and cos(x - y) = 12/13, where x, y ∈ [0, π/2], find sin(2x) + sin(2y).
If cos² x + sin x = 5/4, then find the value of 'sin x'.
In a right triangle ABC, angle B = 90°. If tan A = 3/4 and the length of the hypotenuse is 25 cm, find the area of the triangle.
If tan α = 1/2, tan β = 1/3, then find α + β.
If 4sin² θ = 3(1+ cos θ), 0° < θ < 90°, then what is the value of (2tan θ + 4sinθ - secθ)?
The minimum value of 12 sin θ + 5 cosθ is
tan 1˚ × tan 2˚× …………………….tan 88˚ × tan 89˚ = ?
If tan A = 1 and tan B = √ 3, what is the value of cos A . cos B - sin A . sin B?
