If tan\(\theta\) = \(\frac{8}{15}\), simplify \(\frac{ Sin\theta - Cos\theta}{Sin^2\theta - Sin\theta}\)
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Past Questions
2,359 questionsIf A = \(\begin{pmatrix}3 & 2 & 1\\4 & 2 & -1\end{pmatrix}\) and B = \(\begin{pmatrix}1 & 4\\0 & 1\\3 & 2\end{pmatrix}\). Find A\(^T\) + B, ( where T means transpose)
Given P = \(\begin{bmatrix}1 & 2\\2 & 3\end{bmatrix}\), find P\(^2\) - 4P - I where I is the identity matrix
If x is inversely proportional to y and x = 9 when y = 4, find the law containing x and y
Find the roots of x\(^3\) - 19x - 30=0
If B varies inversely as c\(^{\frac{1}{3}}\) and C = 27 when B = 2, find the value of the constant of proportionality K.
U varies directly as the square root of V when U = 24, V = 9, find the value of V when U = 16.
A bag contains 7 red and 4 black identical balls. Two balls were picked at random from the bag and replaced each time. Find the probability the two balls were of same colour.
In how many ways can a committee of 5 be selected from a group of 7 males and 3 females, if the committee must have one female?
From a class of 5 girls and 7 boys, a committee consisting of 2 girls and 3 boys is to be formed. How many ways can this be done?
Calculate the standard deviation of the following scores 5, 4, 6, 7, and 8
Find the variance of a group of data whose standard deviation is 12.34 to the nearest whole number.
The mean of the numbers 13, 16, x, 18, 21, 2x, 35, is 22. Find the value of x
Differentiate Cos25º - Sin 25º
How many proper and improper subsets are there in the set K = { a, b, c, d, e}?
The average age of the four female teachers in a school is 40 and the average age of eight male teachers in the school is 25. Calculate the average age of the teachers in the school.
Subtract 14256\(_{seven}\) from 20045\(_{seven}\)
Convert the number 10111.11\(_{two}\) to a mixed number.
In the diagram above, T represents the construction of angle .....
Given that P is the set of all prime numbers between 0 and 10, and Q is the set of all odd numbers between 0 and 10. Find the union of elements in P that are not in Q and the elements in Q that are not in P.