Answer:0.68251895
Explanation:
Sin (x-y)= Sinxcosy-CosxSiny
Sin(-4x)
-Sin4x=-0.4
Sin4x=0.4
Take the inverse sine of both sides of the equation to extract
x
from inside the sine.
4
x
=
(
0.4
)
Simplify 4x=0.41151684
Divide each term in
4x=0.41151684 by 4
and simplify.
x=0.10287921
The sine function is positive in the first and second quadrants. To find the second solution, subtract the reference angle from
π
to find the solution in the second quadrant.
4x= 3.14159265
0.41151684
Solve x
0.68251895