sin^2(t)+cos^2(t)+t^2=82

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Solution for sin^2(t)+cos^2(t)+t^2=82 equation:


Simplifying
sin2(t) + cos2(t) + t2 = 82

Multiply in2s * t
in2st + cos2(t) + t2 = 82

Multiply cos2 * t
in2st + cos2t + t2 = 82

Reorder the terms:
cos2t + in2st + t2 = 82

Solving
cos2t + in2st + t2 = 82

Solving for variable 'c'.

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

Add '-1in2st' to each side of the equation.
cos2t + in2st + -1in2st + t2 = 82 + -1in2st

Combine like terms: in2st + -1in2st = 0
cos2t + 0 + t2 = 82 + -1in2st
cos2t + t2 = 82 + -1in2st

Add '-1t2' to each side of the equation.
cos2t + t2 + -1t2 = 82 + -1in2st + -1t2

Combine like terms: t2 + -1t2 = 0
cos2t + 0 = 82 + -1in2st + -1t2
cos2t = 82 + -1in2st + -1t2

Divide each side by 'os2t'.
c = 82o-1s-2t-1 + -1in2o-1s-1 + -1o-1s-2t

Simplifying
c = 82o-1s-2t-1 + -1in2o-1s-1 + -1o-1s-2t

Reorder the terms:
c = -1in2o-1s-1 + 82o-1s-2t-1 + -1o-1s-2t

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