Sin theta+costheta/sintheta -costheta+sintheta-costheta/sinthet a+costheta=2sec2/tan2 theta -1

From Left side:

NOTE: sin²θ + cos²θ = 1

Left side = Right side so proof is complete

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."

1/8 3/16 3/4

step-by-step explanation:

you put them as all the same denominator and multiply