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We know that tanθ = sinθ/cosθ. Given 2sinθ = tanθ, we have 2sinθ = sinθ/cosθ. Multiplying both sides by cosθ, we get 2sinθ * cosθ = sinθ. Dividing both sides by sinθ, we get 2cosθ = 1. Thus, cosθ = 1/2. Now, sin²θ = 1 - cos²θ = 1 - (1/2)² = 1 - 1/4 = 3/4, so sinθ = √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:
