Answer:
x=21.38602241
Step-by-step explanation:
Given: sin(3x)cos(6x) - cos(3x)sin(6x) = -0.9
Rewrite as difference identity: sin(3x-6x)=-0.9
Combine like terms in parentheses: sin(-3x)=-0.9
Take the inverse sine of both sides: -3x=-64.15806724
Divide both sides by -3: x=21.38602241
Refer to the sheet to see all trigonometric identities
Answer:
Step-by-step explanation:
sin(3x)cos(6x)-cos(3x)sin (6x)=-0.9
sina cos b-cos asin b=sin(a-b)
sin(3x-6x)=-0.9
sin(-3x)=-0.9
-sin (3x)=-0.9
sin (3x)=0.9
3x=arcsin (0.9)≈64.16°,115.84°
3x=360n+64.16,360n+115.84
x=120 n+21.39°,120 n+38.61°