sin(.75x)+cos(.25x)=90

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Solution for sin(.75x)+cos(.25x)=90 equation:


Simplifying
sin(0.75x) + cos(0.25x) = 90

Remove parenthesis around (0.75x)
ins * 0.75x + cos(0.25x) = 90

Reorder the terms for easier multiplication:
0.75ins * x + cos(0.25x) = 90

Multiply ins * x
0.75insx + cos(0.25x) = 90

Remove parenthesis around (0.25x)
0.75insx + cos * 0.25x = 90

Reorder the terms for easier multiplication:
0.75insx + 0.25cos * x = 90

Multiply cos * x
0.75insx + 0.25cosx = 90

Reorder the terms:
0.25cosx + 0.75insx = 90

Solving
0.25cosx + 0.75insx = 90

Solving for variable 'c'.

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

Add '-0.75insx' to each side of the equation.
0.25cosx + 0.75insx + -0.75insx = 90 + -0.75insx

Combine like terms: 0.75insx + -0.75insx = 0.00
0.25cosx + 0.00 = 90 + -0.75insx
0.25cosx = 90 + -0.75insx

Divide each side by '0.25osx'.
c = 360o-1s-1x-1 + -3ino-1

Simplifying
c = 360o-1s-1x-1 + -3ino-1

Reorder the terms:
c = -3ino-1 + 360o-1s-1x-1

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