The terminal arm of angle theta passes through 4 1 What is s

The terminal arm of angle theta passes through (4, -1), What is sin theta? a. - Squareroot 17/17 b. 4 Squareroot 17/17 c. -1/4 Which angle has the same cosine rates as 40 degree ? a. 140 degree b. 220 degree c. 320 degree d. none of the above Which angle has the same cosine ratio as 190 degree? a. 10 degree b. 350 degree c. 550 degree d. none of the above Which angle has the same sine ratio as 70 degree? a. -70 degree b. -110 degree c. -230 degree d. -250 degree Tan theta a 4/3. What is the value of sin theta? a. 3/5 b. 4/5 c. plusminus 3/5 d. plusminus 4/5

Solution

7.point is (4,-1)

sin theta=opposite/hypotenuse

opposite,y=-1

hypotenuse=sqrt(16+1)=sqrt17

sin theta-1/sqrt17=-sqrt17/17

8.cosine is positive in first and fourth quadrant

So the other angle is 360-40=320degree

9.cosine is negative in second and third quadrant. so the other angle is 550