-15sin(t)+8cos(t)=17

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Solution for -15sin(t)+8cos(t)=17 equation:


Simplifying
-15sin(t) + 8cos(t) = 17

Multiply ins * t
-15inst + 8cos(t) = 17

Multiply cos * t
-15inst + 8cost = 17

Reorder the terms:
8cost + -15inst = 17

Solving
8cost + -15inst = 17

Solving for variable 'c'.

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

Add '15inst' to each side of the equation.
8cost + -15inst + 15inst = 17 + 15inst

Combine like terms: -15inst + 15inst = 0
8cost + 0 = 17 + 15inst
8cost = 17 + 15inst

Divide each side by '8ost'.
c = 2.125o-1s-1t-1 + 1.875ino-1

Simplifying
c = 2.125o-1s-1t-1 + 1.875ino-1

Reorder the terms:
c = 1.875ino-1 + 2.125o-1s-1t-1

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