we know that 0° < angle theta < 90° so angle theta belong to the first quadrant sin theta and cos theta are positive
cos theta=0.3090 cos²theta+sin²theta=1 step 1 find sin theta sin²theta=1-cos²theta------> 1-(0.3090)²-----> sin²theta=0.904519 sin theta=√0.904519------> sin theta=0.9511
the answer part a) is sin theta=0.9511
step 2 find tan theta tan theta=sin theta/cos theta-----> tan theta=0.9511/0.3090 tan theta=3.0780
the answer part b) is tan theta=3.0780
the final answer is sin theta=0.9511 tan theta=3.0780
