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sin (3x - 2o) = cos (2x + 22o), Or, sin (3x - 2o) = sin (90o - 2x - 22o) So, 3x - 2o = 68o - 2x So, 5x = 70o So, x = (70/5) = 14o So, {3tan (4x - 11o) + cosec (5x - 10o)} X cot (2x + 2o) = {3 X tan45o + cosec 60o} X cot30o = (3 X 1 + 2/√3) x √3 = {(3 √3 + 2)/ √3} x √3 = (3 √3 + 2)
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:
