Q) What are the equations for waveforms that lead and lag by specified angles?

[TehSwedishBeas]

Homework Statement

Q) State the equations of the wave forms which:

a) Leads sin ωt by ∏/2
and
b) Lags sin (ωt+∏/6) by ∏/3

Homework Equations

I could not think of any relevant equations.

The Attempt at a Solution

a)Sin ωt will be when t=0
Sin ω(t-a) will be 0 when t-a, since t-a=0
The function to be 0 when t=-∏/2

b)Sin(ωt+∏/6) will be 0 when ωt+∏/6 =0 or t=-∏/6ω
The function to be 0 when t=-∏/6ω + ∏/3= (-∏+2∏ω/6ω)

Got this far need more help though.

 

[Adithyan]

If a question states speaks of the words ''lead'' and ''lag'' it means the angle ''leads'' or 'lags'' by the given amount.

• Lead : Lead means to be ''greater than''
• Lag : Lag means to be ''lesser than''.

So leading by π/2 means the angle to be found out is greater than the given angle by π/2.

Hope you've understood!
Best of luck!