Question

sin²(4π/3) + sin(π/6) then A = __________

(a) (3/4)

(b) (5/4)

(c) (5/2) 

(d) (4/5)   

Answer 1

The correct option (b) (5/4)   

Explanation:

sin²(4π/3) + sin(π/6) = [sin(4π/3)]² +[sin(π/6)]

= [sin{π + (π/3)}]² + (1/2)

= [– sin(π/3)]² + (1/2)

= (3/4) + (1/2)

= (5/4).