Answer: sin(x + 1) = 0.841*cos(x) + 0.540*sin(x)
Step-by-step explanation:
Here we can use the relation:
Sin(a + b) = sin(a)*cos(b) + sin(b)*cos(a)
In this case we have:
sin(x + 1)
This means that the graph of sin(x) is shifted one unit to the left.
But we can write this, using the above relation, as:
sin(x + 1) = sin(x)*cos(1) + sin(1)*cos(x)
Now we have no longer a shift, and we can replace:
sin(1) = 0.841
cos(1) = 0.540
Then:
sin(x + 1) = 0.841*cos(x) + 0.540*sin(x)
