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6 tan A = 5 tan A = 5 / 6 8 sin A−4 cos A / cos A+2 sin A = cosA(8 tan A−4) / cos A(1+2 tan A) = 8 tan A−4 / 1+2 tan A Put the value of tan θ, = (8 × 5 / 6 −4) / (1 + 2 × 5/6) = (20/3 – 4) / (1 + 5/3) = (8/3) /(8/3) = 1
The side of a square is equal to the perimeter of an equilateral triangle of area 196√3 cm2 . Find the area of the square?
If the radius of a right circular cylinder is doubled (an increase of 100%), and its height is reduced by half (a decrease of 50%), what will be the ra...
The area of a triangle is 96 cm² and its perimeter is 48 cm. Find the in-radius (radius of the inscribed circle) of the triangle.
Ramesh walked 6 km to reach the station from his house, then he boarded a train whose average speed was 60 km/h and thus he reached his destination. In ...
The perimeter of a rectangle is 320 meters, and the difference between length and breadth is 80 meters. Find the area of the rectangle.
Raman gave a certain amount to his son Ritesh for buying some pens and pencils. With this amount Ritesh can purchase either 10 pens or 30 pencils. Rites...
A rectangular plot of size 40 m (length) 20 m (width) is to be grazed by a horse leaving a margin of 5 m from all sides for growing plants and also ...
A cuboid has a breadth of 5 cm, and the combined total of its length and height is 23 cm. If the volume of the cuboid is 600 cm³, calculate the percent...
Calculate the slant height of a right circular cone if the volume is 1232 cm³ and the base area is 154 cm².
If ∆ ABC~∆ FDE such that AB = 9 cm, AC = 11 cm, DF = 16 cm and DE = 12 cm, then the length of BC is:
