Mathematics Tes...

Period of cot 3 x - cos (4x + 3) is

sin 30° + cos 60° + tan 45° is equal to

The value of sin 10° + sin 20° + sin 30° + ........+ sin 360° is

α and β lie between 0 and π/4, cos(α + β) = 12/13 and sin(α - β) = 3/5.

sin 2α =

(tan 3x - tan 2x - tan x) is equal to

If sin (A + B + C) = 1, tan (A - B) = 1/√3, sec(A + C) = 2,

Three of six vertices of a regular hexagon are chosen at random. The probability that the triangle with these three vertices will be equilateral is

India plays two matches each with West Indies and Australia. In any match, the probabilities of India getting points 0, 1 and 2 are 0.45, 0.05 and 0.50 respectively. Assuming that the outcomes are independent, the probability of India getting atleast 7 points is

The probability that a man will live 10 more years is 1/4 and the probability that his wife will live 10 more years is 1/3. The probability that neither of them will be alive in 10 years is

Three identical dice are rolled. The probability that the same number will appear on each of them is

Out of 40 consecutive integers, two are chosen at random. The probability that their sum is odd is

The area of the figure bounded by the curves y = | x - 1 | and y = 3 - | x | is