Question

Determine the exact values of the six trigonometric functions of the angle θ.

Answer 1

Do you want to know what the six trigonometric functions are?

Answer 2

no, i am drawing something.

Answer 3

the point of that line is (-8,8)

Answer 4

now i need to find the 6 functions, can you please help me? :D

Answer 5

So do you know what \[\theta\] is?

Answer 6

no, I am not told that.

Answer 7

but the thetha symbol is where the arc is on the picture in my book.

Answer 8

Okay, do you know how to find θ from the equation of the line?

Answer 9

Right. Okay, would you know what θ is if the line was parallel to the x-axis?

Answer 10

for cos my incorrect answer was -√128)

Answer 11

what would θ be in this drawing?

Answer 12

Assume I am showing a line at a right angle to the bottom line.

Answer 13

90 degrees?

Answer 14

Correct. For the drawing you showed above, however, the line shows a θ greater than 90 degrees

Answer 15

yes, but i am not given the degrees.

Answer 16

\[x = r*\cos \theta\]
\[y =r*\sin \theta\]
\[\tan \theta = \frac{y}{x}\]
plug in (-8,8) for x,y to solve for theta

Answer 17

If the line passes through the point (-8, 8) [and (0,0)] then we know that the equation for the line would be y =-x. Can you see that this line is at a 45 degree angle to the y-axis?

Answer 18

so θ would be 45 degrees + 90 degrees = 135 degrees

Answer 19

ok, so i figured out 2 out of 6 so far. tan is -1 and co tan is -1 as well