Find the value of $\operatorname{cosec} 750^{\circ}-2\left(\cot 765^{\circ}\right)$

Question

Aicharya · Accepted Answer

$\operatorname{cosec} 750^{\circ}-2 \cot 765^{\circ}$ $\begin{aligned} & =\operatorname{cosec}\left(720^{\circ}+30^{\circ}\right)-2 \cot \left(720^{\circ}+45^{\circ}\right) \ & =\operatorname{cosec} 30^{\circ}-2 \cot 45^{\circ}=2-(2 \times 1)=2-2=0 \end{aligned}$ Hence, option (a) is correct.

Find the value of \(\operatorname{cosec} 750^{\circ}-2\left(\cot 765^{\circ}\right)\)

Solution