(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.

will mark as brainliest

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:

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

answer: c

because if you look at the chart you can see a pattern and compare it to the question he simplify out your

but i think the formula is f(x)=6x