Determine amplitude, frequency and initial phase: sin (t) − cos (t), etc.

[NaRiiUx]

Dear users of FreeMATHhelp.com,

For a test I need to find the amplitude, frequency and the initial phase. I can't find how to solve this. Can anyone help me solving these?

Determine amplitude, frequency and initial phase (exact answers!): ( go to --> A cos(ωt + ϕ)
(a) sin (t) − cos (t)
(b) sin(2t) − cos(2t)
(c) √3 sin (t)− cos(t)

Thanks a lot!

 

[Deleted member 4993]

Dear users of FreeMATHhelp.com,

For a test I need to find the amplitude, frequency and the initial phase. I can't find how to solve this. Can anyone help me solving these?

Determine amplitude, frequency and initial phase (exact answers!): ( go to --> A cos(ωt + ϕ)
(a) sin (t) − cos (t)
(b) sin(2t) − cos(2t)
(c) √3 sin (t)− cos(t)

Thanks a lot!

Hint: sin(Θ) + cos(Θ) = (√2)*[(1/√2)*sin(Θ) + (1/√2)*cos(Θ)] = (√2)*[sin(π/4)*sin(Θ) + cos(π/4)*cos(Θ)] ... continue

What are your thoughts?

Please share your work with us ...even if you know it is wrong.

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[stapel]

For a test I need to find the amplitude, frequency and the initial phase.

Does this mean that you're being tested on the amplitudes, periods / frequencies, and phase-shifts of trigonometric functions? And that your class hasn't covered this topic?

I can't find how to solve this. Can anyone help me solving these?

Unfortunately, it is not reasonably feasible to attempt here to provide the weeks of missing classroom instruction. But you should have been able to find many lessons online. Try these:

. . . . .Google results for "graphing trig functions"

. . . . .Google results for "trig functions amplitude"

. . . . .Google results for "trig functions frequency"

. . . . .Google results for "trig functions period"

. . . . .Google results for "trig functions phase shift"

Once you have studied at least two lessons from each listing, please attempt the exercises. If you get stuck, please reply with a clear listing of your thoughts and efforts so far, along with a clarification of what you mean by "go to --> A cos(ωt + ϕ)". Thank you!