Question
Find the value of cos 15° × cos 75° + sin 15° × sin
75°:Solution
Using the identity cos(A - B) = cos A cos B + sin A sin B, cos(75° - 15°) = cos 60° = 1/2. Correct option: c
To construct a house, 18 workers laboring 5 hours daily complete the job in 22 days. If the workforce increases to 24 workers, each working 7.5 hours pe...
'P' increases the price of a shirt by 20%. If he reduces the discount percentage from 15% to 10%, his profit rises by Rs. 2400. Determine the profit or ...
Find the simplified value of the following expression:
(16.25 × 24 + 7 × √36) ÷ 23 + 3.75 × 16 – 37 × 2 + 7.5
...Let A = 2i + 3j, B = pi + 9j, and C = i – j.If points A, B, and C are collinear, then the value of p is:
If the perimeter of a square measures 92 cm, what is the area of the square?
The sum of the ages of a father and his son is 50 years. After 5 years, the father's age will be twice that of his son. What are their present ages?
If a line has direction ratios 2, – 1, – 2, determine its direction cosines.
- 'Amit' can complete a project in 20 days while 'Bhavya' can do it in 30 days alone. Bhavya starts the project on Day 1, then Amit works on Day 2, and both ...
If P is the amount invested at 5% p.a compounded half yearly for 2 years, what would be the amount received at the end of 2 years?
