Question
The ratio of two numbers is 2:5. If each number is
decreased by 4, the ratio becomes 3:8. Find the smaller numbers.Solution
Let the two numbers be 2x and 5x. => (2x-4)/(5x-4) = 3/8 => 16x – 32 = 15x – 12 => x = 20 The smaller numbers = 2 × 20 = 40
If tan A = 1 and tan B = √ 3, what is the value of cos A . cos B - sin A . sin B?
A ladder leans against a wall. The foot of the ladder is 6 meters away from the wall. If the angle the ladder makes with the ground is 60°, find the le...
Find the value of sin265o + sin225o + cos235o + cos255o.
...If sin θ + cos θ = 1.2, find the value of sin θ. cos θ.
- In a triangle ABC, if 5∠A = 3∠B = 15∠C, then find the value of cosA + sin(C + 10 ° )
Find the value of tan(75°) using the identity for tan(A+B).
(cos5°+sin5°)/(cos5°-sin5°) is equal to:
Two points P and Q are at the distance of x and y (where y > x) respectively from the base of a building and on a straight line. If the angles of elevat...
The minimum value of 3 sin2 θ + 4 cos2 θ is
...