Start learning 50% faster. Sign in now
We know sin(A + B) = sinA * cosB + cosA * sinB. Given sinA = 3/5, cosA = √(1 - sin²A) = √(1 - (3/5)²) = √(1 - 9/25) = √(16/25) = 4/5. Also, cosB = 12/13, so sinB = √(1 - cos²B) = √(1 - (12/13)²) = √(1 - 144/169) = √(25/169) = 5/13. Now, sin(A + B) = (3/5)(12/13) + (4/5)(5/13) = 36/65 + 20/65 = 56/65.
In a Company the average income of all the employees is Rs. 20000 per month. Recently the company announced increment of Rs. 2000 per month for all the ...
Average age of company A is 22 years and average age of both companies A and B is 14 years. If the ratio of number of employees in company A and B is 3:...
A group of 15 students appeared for three tests. The overall average score across all tests is 70. The average score in the first test was 75, and in th...
Daksh bought 21 notebooks for Rs.1260 from shop A and 14 notebooks for Rs.1190 from shop B. What is the average price he paid per book?
Quantity I: The average weight of 30 people is increased by 1.5 kg when one man weight 48 kg is replaced by another man. Find the weight of new man?...
The average of 30 numbers is 1.2. The average of the first 20 of them is 1.1 and that of the next 9 is 1. Then the last number is:
The average of three numbers P, Q and R is 1600. R is 75% more than P. The ratio of P and Q is 4:5 respectively. If R is 25% less than S, then find out ...
Average weight of 13 nurses is 40 kg. If the weight of one more nurse is included, then average weight is increased by 2 kg. Find the weight of the newl...
Three numbers are given such that when the average of any two numbers is added to the third number, the resulting sums are 350, 330, and 310. Determine ...
The volume of cone is 2695 cm3. If its height is 2.1 cm then find the radius of the cone.