Question

find the value of
sin30^​0 ​. ​cos 60⁰ - ​tan 45⁰ . sec 30^​0 . cosec 60⁰ ​+ 2 . cot 45⁰

Answer 1

Dear student
$$\begin{gathered} \sin 30\cos 60-\tan 45sec30\cos ec60+2cot45 \\ =\left(\frac{1}{2}\times \frac{1}{2}\right)-\left(1\times \frac{2}{\sqrt{3}}\times \frac{2}{\sqrt{3}}\right)+2 \\ =\frac{1}{4}-\frac{4}{3}+2 \\ =\frac{3-16+24}{12} \\ =\frac{11}{12} \end{gathered}$$