(algebra question worth 30 points) the point (2, 3) is on the terminal side of angle θ, in standard position. what are the values of sine, cosine, and tangent of θ? show all work.

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answer:

draw a right triangle with horizontal base length 2, vertical length 3.

use pythagorean thm to find length of hypotenuse:

now use soh cah toa to find correct trig ratios:

the opposite side is always the vertical side > 3

the adjacent side is always the horizontal side > 2

soh > sin = opp/hyp

cah   > cos = adj/hyp

toa > tan = opp/adj

answer:

tangent of 0

step-by-step explanation:

i am currently in the exact same situation rn. algebra2/adv algebra is killing

step-by-step explanation:

0.16 or 16%

step-by-step explanation:

lets take a coin for example.

if you toss it twice, it has a 1/4 chance of landing on heads both times because 1/2 * 1/2 is 1/4.

with the cards, the chance of picking dog is 0.4. having two people pick one is like picking a card twice in a row. so 0.4 * 0.4 is 0.16, or 16%