Answer:
3/4
Step-.by-step explanation:
sin 60° cos 60 °+ x tan 45 ° tan 30° = tan60° sin 30
x tan 45 * tan 30 = tan 60 * sin 30- sin 60 cos 60
x = (tan 60 * sin 30- sin 60 cos 60 ) / ( tan 45 * tan 30)
Substituting the values
x = (√3 * 1/2)- (√3/2 * 1/2) / (1 * √3/3)
= √3/2 - √3/4 / √3/3
= √3/4 / √3/3
= √3/4 * 3/√3
= 3/4.