Question

sinalpha.cosalpha=1/2
8sin(alpha+pi).cos(alpha+pi)-5tanalpha.cotalpha -1

Answer 1

8sin(α+\(\pi\)).cos(α+\(\pi\))-5tanα.cotα-1

=-8sinα.-cosα-5\(\dfrac{sin\text{α}}{cos\text{α}}\).\(\dfrac{cos\text{α}}{sin\text{α}}\)-1

=8sinα.cosα-5-1

=\(8.\dfrac{1}{2}-5-1\)=-2