delta wave

Mono-Wave Shapes of Simple Harmonic Motion?
What is the equation cos (8t)-sin (8t) wrote in Acos (wt-delta) form? Arctan (-1/-1) not work. Neither does arccos (-1/sqrt (2)) or arcsin (-1/sqrt (2)) i just need to find delta
Let s =- cos (8t)-sin (8t) s = – (cos (8t) Sin + (8t)) By dividing and multiplying by the square root of the sum of squared coefficients of cos (8t) and sin (8t): S = – sqrt (2) [cos (8t) / sqrt (2) + Sin (8t) / sqrt (2)] = – sqrt (2) [cos (8t) cos (pi / 4) + sin (8t) sin (pi / 4)] = – sqrt (2) cos (8t – pi / 4). If you need to be a positive substitute pi / 4 with an angle of 3rd quarter, changing the sign of both the sine and cosine terms: s = sqrt (2) cos (8t – 5 '/ 4).
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