If cos x = (sqrt{frac{a}{b}}) find cosec x
-
A.
(frac{b}{sqrt{b – a}}) -
B.
(sqrt{frac{b}{a}}) -
C.
(sqrt{frac{b}{b – a}}) -
D.
(sqrt{frac{b – a}{a}})
Correct Answer: Option C
Explanation
cosx = (sqrt{frac{a}{b}})
y2 + (sqrt{(a)^2}) = (sqrt{(b)^2}) by pythagoras
y2 = b – a
∴ y = b – a
cosec x = (frac{1}{sin x}) = (frac{1}{y})
(frac{b}{y}) = (frac{sqrt{b}}{sqrt{b – a}})
= (sqrt{frac{b}{b – a}})