A relation ‘f’ is called a function, if each element of a non-empty set X, has only one image or range to a non-empty set Y. The modulus function... View Article
The given questions contain few events and it can be solved by using Baye's theorem Let E1, E2,..., En be a set of events associated with a... View Article
Given According to the given details Number of students in the college=Â 300 Number of newspapers read by every student= 5 Number of students... View Article
We have to determine the value of tan 15. tan 15 can be expressed as given below Tan 15° = Tan(45 – 30)° ----(i) By the trigonometry... View Article
We know that sin (A + B) and cos (A - B) formulae We have to determine the value of tan 2A sin (A + B) = 1 - √ cos2 (A+B) sin (A + B) = √(1)²... View Article
The condition given in the question is x2 - |x + 2| + x > 0 Two cases are possible: Case 1: When (x+2) ≥ 0. Therefore, x2 - x - 2 + x >... View Article
Given equation: tan θ × tan (120º - θ) × tan(120º + θ) = 1/√3 Find out We have to determine the value of θ Solution tan θ × tan (120º - θ) ×... View Article
Answer: tan 75 can be expressed as tan75° = tan(30° + 45°) From the identity we known that tan (A + B) = (tan A + tan B) / (1 - tan A tan B)... View Article
Given, (sin θ - cos θ + 1)/(sin θ + cos θ - 1) Divide by cos θ in numerator and denominator, = {(sin θ - cos θ + 1)/cos θ}/{(sin θ + cos θ -... View Article
First, let us know about the seven-digit number The smallest 7 digit number is 1000000 The greatest 7 digit number is 9999999 Hence there are... View Article
Let us consider the LHS of the equation LHS of the given equation is (cosec A -Â sin A) (sec A - cos A) We know that cosec A can be expressed... View Article
Given that tan Θ + cot Θ= 2 We know that cot Θ = 1/ tan cot Θ On substituting cot Θ = 1/ tan cot Θ in givne equation we get tan Θ+ 1 / tan Θ... View Article
