Question

the greatest value of sin x cos x is​

Answer 1

Answer:

let fx=sinx.cosx=2sinx.cosx/2=(sin2x.)/2

derivative. both side

f'x=1/2×2.cos2x

for max or min value.

f'x=0

cos2x=0

2x=90°

x=45°

second derivative both side

f"x=-2sin2x.

let x=45°

f"x=-2(-ve)

f"x is negative , so value is greatest.

let x= 45° ,in fx

fx= sin45°.cos 45°=1/√2×1/√2=1/2

Answer 2

Answer:

1/2 is greatest value

l hope this will help u......