Question

Question 3 of 10 - A cos 0 = and sin 0< 0. Identify the quadrant of the terminal side of e and find sin e. A. Quadrant: III sin 0 = - - O B. Quadrant: IV sin e 4 - 5 O C. Quadrant: IV sin e 3 - O D. Quadrant: 11 sin 0 = 1​

Answer 1

Answer:

B.

Step-by-step explanation:

1) if sinθ<0, then θ can be in quadrants III or IV;

2) if according to the condition cosθ=3/5>0, then θ can be in quadrants I or IV;

3) if cosθ>0 and sinθ<0, then θ is in quadrant IV;

4) sinθ can be calculated (the required sin in quadrant IV is less zero):

$sinO=- \sqrt{1-cos^2O}=- \sqrt{\frac{16}{25}}=- \frac{4}{5} .$