15sinx+8cosx=this(x-a)

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Solution for 15sinx+8cosx=this(x-a) equation:


Simplifying
15sinx + 8cosx = this(x + -1a)

Reorder the terms:
8cosx + 15insx = this(x + -1a)

Reorder the terms:
8cosx + 15insx = hist(-1a + x)
8cosx + 15insx = (-1a * hist + x * hist)
8cosx + 15insx = (-1ahist + histx)

Solving
8cosx + 15insx = -1ahist + histx

Solving for variable 'c'.

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

Add '-15insx' to each side of the equation.
8cosx + 15insx + -15insx = -1ahist + histx + -15insx

Combine like terms: 15insx + -15insx = 0
8cosx + 0 = -1ahist + histx + -15insx
8cosx = -1ahist + histx + -15insx

Divide each side by '8osx'.
c = -0.125ahio-1tx-1 + 0.125hio-1t + -1.875ino-1

Simplifying
c = -0.125ahio-1tx-1 + 0.125hio-1t + -1.875ino-1

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