Use the reciprocal and quotient identities to find LaTeX: \cos\thetacos ⁡ θ if LaTeX: \tan\theta=\frac{\sqrt[]{2}}{2}tan ⁡ θ = 2 2 and LaTeX: \sin\theta=-\frac{\sqrt[]{3}}{3}sin ⁡ θ = − 3 3 .

Starting at home, emily traveled uphill to the hardware store for 606060 minutes at just 666 mph. she then traveled back home along the same path downhill at a speed of 121212 mph. what is her average speed for the entire trip from home to the hardware store and back?