Question
If cos2B = sin(1.5B + 41o), then find the
measure of 'B'.Solution
We know that, cosA = sin(90 o - A) cos2B = sin(1.5B + 41 o) Or, sin(90 o - 2B) = sin(1.5B + 41 o) Or, 90 o - 2B = 1.5B + 41o Or, 2B + 1.5B = 90 o - 41 o So, 3.5B = 49 o So, B = (49 o / 3.5) = 14 o Hence, option b.
Find the median of 2, 8, 6, 6, 7, 9, 5, 12 and 13.
87.5% of the voters in State 'P'Â is equivalent to 10/11 of the voters in State 'Q', and 10/11 of the voters in State 'Q' is equal to 93.75% of the vot...
The mean of 12 numbers is 15. When two additional numbers, x and y , are included, the average increases by 1. Given that the difference between x and y...
- Determine the remainder when
The difference between the value of the number increased by 20% and the value of the number decreased by 30% is 120. Find the number.
How many numbers lie between 2000 and 3000 divisible by 5 can be made with the digits 2, 3, 4, 5, 6, 7 and 8 without repeating any digit?
If two numbers add up to 12 and the sum of their cubes is 1728, then what is the product of the two numbers?
If p and q are real numbers such that p2 + (p - 2q - 1)2 = - 4q(p + q), then the value p - 2q is
If the 4-digit number y29z is exactly divisible by 9, what is the least value of (y + z)?
Find the remainder when the number (256n + 105) is divided by 16.
