question_answer

If \[\alpha \] and \[\beta \] are angles in the first quadrant \[\tan \alpha \frac{1}{7}\,\,.\,\,sin\beta =\frac{1}{\sqrt{10}}\], then the value of \[\alpha +2\beta \] is?

A) \[0{}^\circ \]

B) \[30{}^\circ \]

C) \[45{}^\circ \]  

D)  \[60{}^\circ \]