mkforlife10
Member
simplyfying a single sinusoid
the question ask to simplify the following in a single sinsuoid x(t)= A+Bcos(ωt+θ)
here i the question
x(t)=5+5cos(200∏t+∏/2)+3cos(200∏t-∏/3)-2cos(200∏t-∏/4)
I am attaching what I did but not sure if it correct.
Since the ω∏t is same for all, I used euler form to convert the signal and then to rectangular form to add the real value and imaginary value and then back to Euler form and then in single sinusoid form.
euler formula is re^jθ=rcosθ+jrsinθ=rcos(ω+θ)
Thanks for the help
the question ask to simplify the following in a single sinsuoid x(t)= A+Bcos(ωt+θ)
here i the question
x(t)=5+5cos(200∏t+∏/2)+3cos(200∏t-∏/3)-2cos(200∏t-∏/4)
I am attaching what I did but not sure if it correct.
Since the ω∏t is same for all, I used euler form to convert the signal and then to rectangular form to add the real value and imaginary value and then back to Euler form and then in single sinusoid form.
euler formula is re^jθ=rcosθ+jrsinθ=rcos(ω+θ)
Thanks for the help
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