-1.5*sin(2t)+cos(t)=1

Solution for -1.5*sin(2t)+cos(t)=1 equation:

Simplifying
-1.5sin(2t) + cos(t) = 1

Remove parenthesis around (2t)
-1.5ins * 2t + cos(t) = 1

Reorder the terms for easier multiplication:
-1.5 * 2ins * t + cos(t) = 1

Multiply -1.5 * 2
-3ins * t + cos(t) = 1

Multiply ins * t
-3inst + cos(t) = 1

Multiply cos * t
-3inst + cost = 1

Reorder the terms:
cost + -3inst = 1

Solving
cost + -3inst = 1

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '3inst' to each side of the equation.
cost + -3inst + 3inst = 1 + 3inst

Combine like terms: -3inst + 3inst = 0
cost + 0 = 1 + 3inst
cost = 1 + 3inst

Divide each side by 'ost'.
c = o-1s-1t-1 + 3ino-1

Simplifying
c = o-1s-1t-1 + 3ino-1

Reorder the terms:
c = 3ino-1 + o-1s-1t-1