Question
The area of a square is 45 sq. cm more than the area of
a rectangle of length 15 cm and breadth 12 cm. What will be the area of incircle of the square?Solution
The area of rectangle = l × b = 15 × 12 = 180 sq. cm The area of square = 180 + 45 = 225 sq. cm The side of square = √225 = 15 cm Radius of incircle of a square = side = 15/2 = 7.5 cm
If sin α + cos β = 2 (0˚ ≤ β < α ≤ 90˚), then sin[(2α + β)/3] =?
Two buildings are 40 meters apart. The height of one building is 20 meters. From the top of the shorter building, the angle of elevation of the top of t...
If cos² x + sin x = 5/4, then find the value of 'sin x'.
- If sec A = 2, then what will be the value of sin² A?
Find the maximum value of (20sin A + 15cos A).
If tanθ – cotθ = a and cosθ + sinθ = b, then (b2 –1)(a2 + 4) = ?
If x = 4 cos A + 5 sin A snd y = 4 sin A – 5 cos A, then the value of x2+y2 is :
Find the value of the given trigonometric expression:
(sin 25°cos 65° + cos²25°) × sin 30° + (cos 60°tan 45°) × sec 60°
...- From the top of a tower, the angle of depression to the top of a man's head is 60°. The man is 4 feet tall and is standing 20 feet away from the base of t...
If cot A = 12/5, then the value of (sin A + cos A) × sec A is ________.
Relevant for Exams:
