\(\frac{\sqrt{2}-1}{2}\)
\(\frac{\sqrt{3}-\sqrt{2}}{4}\)
\(\frac{\sqrt{6}-\sqrt{2}}{2}\)
\(\frac{\sqrt{6}-\sqrt{2}}{4}\)
Correct answer is D
\(cos45^o \times cos30^o - sin45^o \times sin30^o\\
\frac{1}{\sqrt{2}}\times \frac{\sqrt{3}}{2} - \frac{1}{\sqrt{2}}\times \frac{1}{2}\\
\frac{\sqrt{3}}{2\sqrt{2}}-\frac{1}{2\sqrt{2}}; = \frac{\sqrt{3}-1}{2\sqrt{2}}=\frac{\sqrt{6}-\sqrt{2}}{4}\)
Evaluate (1/2 - 1/4 + 1/8 - 1/16 + ...) - 1 ...
Two perfect dice are thrown together, Determine the probability of obtaining a total score of 8...
The factors of 9 - (x2 - 3x - 1)2 are...
If \(\begin{vmatrix} 2 & -5 & 3 \\ x & 1 & 4 \\ 0 & 3 & 2 \end{vmatrix} = 13...
If 2log3 y + log3 x2 = 4, then y is...
If y = (2x + 1)3 find dy/dx ...
Evaluate: \(\frac{0.21 \times 0.072 \times 0.00054}{0.006 \times 1.68 \times 0.063}\) ...
Given that m = -3 and n = 2 find the value of \(\frac{3n^2 - 2m^3}{m}\)...
Find the mean deviation of 20, 30, 25, 40, 35, 50, 45, 40, 20 and 45 ...
Calculate 243\(_{six}\) – 243\(_{five}\) expressing your answer in base 10...