Question
A and B together started a business with initial
investment in the ratio of 1:4, respectively. The time-period of investment for A and B is in the ratio of 4:7, respectively. Find the profit share of B, if the profit share of A is Rs. 7000.Solution
Ratio of the profit share of A to B = (1 × 4): (4 × 7) = 1: 7 Profit share of B = (7/1) × 7000 = Rs. 49000
What is the simplified value of the given expression?
3(sinĀ² 30Ā° + sinĀ² 60Ā°) + 6sin 45Ā° - (3sec 60Ā° + cot 45Ā°)
- Find the simplified value of the expression:sin 2 45 o Ā + sin 2 60 o Ā - (1/3) X tan 2 60 o
If θ is a positive acute angle and cos² θ + cosā“θ = 1, then the value of tan²θ + tanā“θ is?
Find the value of the given trigonometric expression:
(sin 15Ā°cos 75Ā° + cosĀ²15Ā°) Ć sin 30Ā° + (cos 60Ā°tan 45Ā°) Ć sec 60Ā°
...Find the maximum value of (20sin A + 15cos A).
Find the exact value of cos120Ā°
- If sin(A + B) = ā3/2 and cos(A + 2B) = 1/2, where 0Ā° < A, B < 90Ā°, then find the value of tan(2A).
If cosec (2A + B) = 2 and cosec (A + B) = 1, find the value of (3A ā B).
A tower is 60 meters high. From a point on the ground, the angle of elevation of the top of the tower is 30Ā°. Find the distance of the point from the b...
- Find the maximum value of (12sin A + 16cos A).
