The value of 1/cosec(-45°) is: (a) -1/√2 (b) 1/√2 (c) √2 (d) -√2

Question

The value of \(\frac{1}{cosec(-45°)}\) is:

(a) \(\frac{-1}{\sqrt{2}}\)

(b) \(\frac{1}{\sqrt{2}}\)

(c) √2 

(d) -√2

Answer 1

(a) \(\frac{-1}{\sqrt{2}}\)

\(\frac{1}{cosec(-45°)}\) = sin(-45°)

= -sin 45° 

= \(\frac{-1}{\sqrt{2}}\)