If $${\text{sin}}\left( {{{90}^ \circ } - \theta } \right)$$ + $${\text{cos}}

Question

If $${\text{sin}}\left( {{{90}^ \circ } - \theta } \right)$$ + $${\text{cos}}\theta $$ = $$\sqrt 2 {\text{cos}}\left( {{{90}^ \circ } - \theta } \right){\text{,}}$$ then the value of $${\text{cosec}}\theta $$ is?

Options:

A . $$\frac{1}{{\sqrt 3 }}$$

B . $$\frac{2}{3}$$

C . $$\sqrt {\frac{3}{2}} $$

D . $$\frac{1}{{\sqrt 2 }}$$

Answer: Option C

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