Mathematics

Problem

Let

\tan\theta=\dfrac{3}{4}

with

\theta

lying in Quadrant III. a. (i) Find

\sin\theta

and

\cos\theta

. b. (ii) Evaluate all six trigonometric ratios for the angles

\pi-\theta

and

2\pi-\theta

. c. (iii) Explain how the reference angle is used to obtain the signs of the ratios in part (ii).