Question

Choose the correct answer from the alternatives given :
What is the value of $si{n}^3{60}^{\circ }cot{30}^{\circ }-2se{c}^2{45}^{\circ }+3cos{60}^{\circ }tan{45}^{\circ }-ta{n}^2{60}^{\circ }$

• A. $\frac{35}{8}$
• B. $\frac{-35}{8}$
• C. $\frac{-11}{8}$
• D. $\frac{11}{8}$

Answer 1

The correct option is B $\frac{-35}{8}$

Putting the value of respective ratios
$\frac{3\sqrt{3}}{8}\times \sqrt{3}2\times 2+\frac{3}{2}3=\frac{9}{8}4+\frac{3}{2}3$
= $\frac{932+1224}{8}=\frac{2156}{8}=\frac{-35}{8}$