Provie that sin A sin(60∘−A)sin (60∘+A)=44sin 3A. Hene , deduce

1.	Provie that sin A sin(60∘−A)sin (60∘+A)=44sin 3A. Hene , deduce that sin20∘sin40∘sin60∘som80∘=316. Or Prove tahat cot A+cot(60∘+ A)−cot(60∘−A)=3cot 3A.
Answer» Provie that $s i n A s i n (60^{\circ} - A) s i n (60^{\circ} + A) = \frac{4}{4} s i n 3 A .$ Hene , deduce that $s i n 20^{\circ} s i n 40^{\circ} s i n 60^{\circ} s o m 80^{\circ} = \frac{3}{16} .$ Or Prove tahat $c o t A + c o t (60^{\circ} + A) - c o t (60^{\circ} - A) = 3 c o t 3 A .$

Provie that sin A sin(60∘−A)sin (60∘+A)=44sin 3A. Hene , deduce that sin20∘sin40∘sin60∘som80∘=316. Or Prove tahat cot A+cot(60∘+ A)−cot(60∘−A)=3cot 3A.

Answer»

Provie that $s i n A s i n (60^{\circ} - A) s i n (60^{\circ} + A) = \frac{4}{4} s i n 3 A .$

Hene , deduce that $s i n 20^{\circ} s i n 40^{\circ} s i n 60^{\circ} s o m 80^{\circ} = \frac{3}{16} .$

Prove tahat $c o t A + c o t (60^{\circ} + A) - c o t (60^{\circ} - A) = 3 c o t 3 A .$