If cos theta = 2/3 what are the values of sin theta and tan theta

sin theta=0.75 degree, tan theta=1.12 degrees

Step-by-step explanation:

cos theta=2/3

cos theta=cah = Adjacent/hypotenus

so, adjacent=2, hypotenus=3, opposite=?

using Pythagoras theorem

hypotenus (squared) = opposite (squared) + adjacent (squared)

3 (squared) = opp (squared) + 2 (squared)

9=opp (squared) + 4

collect like terms

9-4=opp (squared)

opp (squared) = 5

root both sides

opp=root of 5

opp=2.24

to find sin theta

sin theta=soh=opposite/hypotenuse

sin theta=2.24/3

sin theta=0.75 degrees

to find tan theta

tan theta=toa = opposite/adjacent

tan theta=2.24/2

tan theta=1.12 degrees