If \(tan x = \frac{1}{\sqrt{3}}\), find cos x - sin x such t...
If \(tan x = \frac{1}{\sqrt{3}}\), find cos x - sin x such that \(0^o \leq x \leq 90^o\)<
A.
\(\frac{\sqrt{3}+1}{2}\)
B.
\(\frac{2}{\sqrt{3}+1}\)
C.
\(\frac{\sqrt{3}-1}{2}\)
D.
\(\frac{2}{\sqrt{3}-1}\)
Correct answer is C
\(\cos x = \frac{\sqrt{3}}{2}\)
\(\sin x = \frac{1}{2}\)
\(\cos x - \sin x = \frac{\sqrt{3} - 1}{2}\)
Similar Questions
Simplify: \(\frac{3x - y}{xy} - \frac{2x + 3y}{2xy} + \frac{1}{2}\)...
If the simple interest on a sum of money invested at 3% per annum for 2\(\frac{1}{2}\) ye...
What is the value of p if the gradient of the line joining (-1,p) and (p, 4) is 23?...
Calculate without using tables Tan 45° + Cos 60° ...
A box contains 12 identical balls of which 5 are red, 4 blue, and the rest are green. If ...
Simplify; \(\frac{3\sqrt{5} \times 4\sqrt{6}}{2 \sqrt{3} \times 3\sqrt{2}}\)...