Question

P.T 3sin π/6 sec π/3 - 4 sin 5π/6. cot π/4=1

Answer 1

${ \boxed{\boxed{\begin{array}{cc} L.H.S = \rm3sin \frac{\pi}{6} .sec \frac{\pi}{3} - 4sin \frac{5\pi}{6} .cot \frac{\pi}{4} \\ \\ = \rm3 \times \frac{1}{2} \times 2 - 4sin(\pi - \frac{\pi}{6} ) \times 1 \\ \\ = 3 - 4 \rm \: sin \frac{\pi}{6} \\ \\ = 3 - 4 \times \frac{1}{2} \\ \\ = 3 - 2 \\ \\ = 1\\\\=\:R.H.S\end{array}}}}$