Question

hi, i was wondering how do i start this.

Assume that the terminal side of an angle of t radians in standard position lies in quadrant II on the straight line through (-2, 5) and (-6, 15).
Find sin(t), cos(t), tan(t). (Hint: Find a point on the terminal side of the angle.)

Answer 1

first sketch the given

Answer 2

ok

Answer 3

did you do that?

Answer 4

Okay, notice you have 2 points

first point (-2,5)

let x = -2 and y = 5

Then draw a right triangle with angle (t)
, replace the y side of the triangle with 5 and the x side of the triangle with -2.

After that find the hypot. using this equation:

\[c^2 = x^2 + y^2\]

substitute and find c. After that apply the cosine, sine and tan rule which is:
- sin(t) = opposite/hyp
- cos(t) = adjacent/hyp
- tan(t) = sin(t)/cos(t)

All you have to do now is substitute the values and you're done :)

Answer 5

ok thank you