1. Engineering
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3. 1a if 10coswt 4sinwt acoswt where...

# Question: 1a if 10coswt 4sinwt acoswt where...

###### Question details

1a.) if -10cos(wt) + 4sin(wt) = Acos(wt + ○) where A>0 and -180°<○<=180°, find A and ○.

1b.) if 200cos(5t + 130°) = Fcos5t + Gsin5t, find F and G.

2.) compare the following pairs of waveforms, for each pair determine which waveform is leading and the amount of the phase lead.
a.) -33sin(8t-9°) and 12cos(8t-1°)
b.) 15cos(1000t+66°) and -2cos(1000t+450°)
c.) sin(t-13°) and cos(t-90°)
d.) sin t and cos (t -90°)

3.) perform the indicated operations and express the results in rectangular form.
a.) 3 + 15/_-23°
b.) 12j(17/_180°)
c.) 5 - ((16 (1+j)(2-j7))/(33/_-9°))

4.)Perform the indicated operations and express the results in polar form.
a.) 5/_9° - 9/_-17°
b.) (8-j15)(4+j16)-j
c.)((14-j9)/(2-j8))+5/_-30°
d.)17/_30°+6/_-21°+j3

5.) convert these complex numbers to rectangular form:

a.) 5/_-110°
b.) 6e^j160°
c.) (3+j6)2/_50°

convert these complex numbers to polar form:

d.) -100 -j40
e.) 2/_50° + 3/_-120°