Prove identity: sin2x-tanx=cos2xtanx

See below.

Step-by-step explanation:

sin2x-tanx

= 2sinx cosx - sinx/cos

=  (2sinx cos^2x - sin x) / cos x

= sinx ( 2 cos^2x - 1 ) / cos x

Now sin x / cos x = tanx  and 2 cos^2 x - 1 = cos2x

so this simplifies to cos2x tan x.

the red lines denote the population of the bacteria after 35 hours. that would be 2,409.24. the y-intercept is the blue line which is 800 because that is the starting point. the equation used to make the graph is 800(1.032)^h, where h is the number of hours.

step-by-step explanation:

1/800 is the right answer