- #1

- 22

- 0

**x = x**

_{o}+ Asin(ωt + ∅)I know all of the values, except for ∅.

But i don't know how to get the value for ∅

**The attempt at a solution:**

0.349 = 0.367 + 0.413Sin(8.5 * 0.8938 + ∅)

-0.018 = 0.413Sin(7.5973 + ∅)

-0.04358 = Sin(7.5973 + ∅)

From here on, i am confused, I tried using the trigonometric identities.

-0.04358 = Sin7.5973Cos∅+Cos7.5973Sin∅

-0.04358 = 0.1322Cos∅ + 0.9912Sin∅

And once again, i am stuck. I dont know what to do, to get ∅. Please help, thanks.

0.349 = 0.367 + 0.413Sin(8.5 * 0.8938 + ∅)

-0.018 = 0.413Sin(7.5973 + ∅)

-0.04358 = Sin(7.5973 + ∅)

From here on, i am confused, I tried using the trigonometric identities.

-0.04358 = Sin7.5973Cos∅+Cos7.5973Sin∅

-0.04358 = 0.1322Cos∅ + 0.9912Sin∅

And once again, i am stuck. I dont know what to do, to get ∅. Please help, thanks.