\(\frac{48}{65}\)
\(\frac{13}{15}\)
\(\frac{-33}{65}\)
\(\frac{-48}{65}\)
Correct answer is C
From Pythagoras' theorem
when sin x = \(\frac{12}{13}\), cos x = \(\frac{5}{13}\)
Using cos (x + y) = cosx cosy - sinxsiny
\(\frac{5}{13}\) * \(\frac{3}{5}\) - \(\frac{12}{13}\) * \(\frac{4}{5}\)
= \(\frac{-33}{65}\)
If \(3x^2 + p x + 12 = 0\) has equal roots, find the values of p ....
\(P = {x : 1 \leq x \leq 6}\) and \(Q = {x : 2 < x < 9}\) where \(x \in R\), find \(P \cap Q\)...
For what values of x is \(\frac{x^{2} - 9x + 18}{x^{2} + 2x - 35}\) undefined?...
If \(\begin{vmatrix} 3 & x \\ 2 & x - 2 \end{vmatrix} = -2\), find the value of x....
Which of the following binary operations is not commutative? ...
Given that \(f '(x) = 3x^{2} - 6x + 1\) and f(3) = 5, find f(x)....
Given that P = {x : 2 ≤ x ≤ 8} and Q = {x : 4 < x ≤ 12} are subsets of the universal set...