Express (frac{1}{1 – sin 45°}) in surd form.
-
A.
(2 + sqrt{2}) -
B.
(2 + sqrt{3}) -
C.
(2 – sqrt{2}) -
D.
(1 + 2sqrt{2})
Correct Answer: Option A
Explanation
(sin 45 = frac{sqrt{2}}{2})
(frac{1}{1 – sin 45} = frac{1}{1 – frac{sqrt{2}}{2}})
(frac{2}{2 – sqrt{2}} = frac{4 + 2sqrt{2}}{4 – 2})
= (2 + sqrt{2})