We know that
θ=11 pi /6 radians-----> 11*180/6----> 330°
330°----> belong to the IV quadrant
so
cos θ----> is positive
sin θ----> is negative
tan θ----> is negative
330°-----> 360°-330°---> 30°
sin 30°------> 1/2
sin θ=-1/2-----> remember that sin θ is negative
cos 30°------> √3/2
cos θ=√3/2
tan 30°------> (1/2)/(√3/2)----> √3/3
tan θ=-√3/3-------> remember that tan θ is negative
the answer is
sin θ = negative 1 over 2; cos θ = square root 3 over 2; tan θ = negative square root 3 over 3
The population triples ( P × 3 ) every ten minutes...
So if ten minutes is reached there will be 1,200 bacteria.
Edited - missed the question
** The units for time should be in minutes.
P = 400 × 3^(t/10)
at t = 0 ; P = 400
at t = 10 ; P = 1,200
When P = 600
600 = 400 × 3^(t/10)
6/4 = 3^(t/10)
Log(3/2) = Log(3^(t/10))
power rule
Log(3/2) = (t/10) Log(3)
10 × Log(3/2)/Log(3) = t
3.69 minutes the population will be at 600 bacteria
Unites for time are in minutes.
M can have any value because M can represent any number because it is the unknown.
