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Solve: \(\sin \theta = \tan \theta\)
A binary operation * is defined on the set of real numbers, R, by \(x * y = x + y - xy\). If the identity element under the operation * is 0, find the inverse of \(x \in R\).
Simplify \(\frac{x^{3n + 1}}{x^{2n + \frac{5}{2}}(x^{2n - 3})^{\frac{1}{2}}}\)
The diagram above is a velocity- time graph of a moving object. Calculate the distance travelled when the acceleration is zero.
\(g \circ h\) is
From the diagram above, \(h[g(3)]\) is
From the diagram above, which of the following represents the vector V in component form?
The angle of a sector of a circle is 0.9 radians. If the radius of the circle is 4cm, find the length of the arc of the sector.
The distance s in metres covered by a particle in t seconds is \(s = \frac{3}{2}t^{2} - 3t\). Find its acceleration.
A box contains 4 red and 3 blue identical balls. If two are picked at random, one after the other without replacement, find the probability that one is red and the other is blue.
Find the acute angle between the lines 2x + y = 4 and -3x + y + 7 = 0.
Find the number of different arrangements of the word IKOTITINA.
A straight line makes intercepts of -3 and 2 on the x- and y- axes respectively. Find the equation of the line.
Find the constant term in the binomial expansion of \((2x - \frac{3}{x})^{8}\).
Find the values of x at the point of intersection of the curve \(y = x^{2} + 2x - 3\) and the lines \(y + x = 1\).
If P(x - 3) + Q(x + 1) = 2x + 3, find the value of (P + Q).
A fair die is tossed twice. Find the probability of obtaining a 3 and a 5.
Which of the following is nor a measure of central tendency?
Given that \(^{n}P_{r} = 90\) and \(^{n}C_{r} = 15\), find the value of r.
In computing the mean of 8 numbers, a boy mistakenly used 17 instead of 25 as one of the numbers and obtained 20 as the mean. Find the correct mean