sin^9(x)+cos^5(x)+sin^5(x)=2

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Solution for sin^9(x)+cos^5(x)+sin^5(x)=2 equation:


Simplifying
sin9(x) + cos5(x) + sin5(x) = 2

Multiply in9s * x
in9sx + cos5(x) + sin5(x) = 2

Multiply cos5 * x
in9sx + cos5x + sin5(x) = 2

Multiply in5s * x
in9sx + cos5x + in5sx = 2

Reorder the terms:
cos5x + in5sx + in9sx = 2

Solving
cos5x + in5sx + in9sx = 2

Solving for variable 'c'.

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

Add '-1in5sx' to each side of the equation.
cos5x + in5sx + -1in5sx + in9sx = 2 + -1in5sx

Combine like terms: in5sx + -1in5sx = 0
cos5x + 0 + in9sx = 2 + -1in5sx
cos5x + in9sx = 2 + -1in5sx

Add '-1in9sx' to each side of the equation.
cos5x + in9sx + -1in9sx = 2 + -1in5sx + -1in9sx

Combine like terms: in9sx + -1in9sx = 0
cos5x + 0 = 2 + -1in5sx + -1in9sx
cos5x = 2 + -1in5sx + -1in9sx

Divide each side by 'os5x'.
c = 2o-1s-5x-1 + -1in5o-1s-4 + -1in9o-1s-4

Simplifying
c = 2o-1s-5x-1 + -1in5o-1s-4 + -1in9o-1s-4

Reorder the terms:
c = -1in5o-1s-4 + -1in9o-1s-4 + 2o-1s-5x-1

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