YOUR TURN! DETERMINE WHICH ANGLE THE ANGLES LIE, THEN FIND THE INDICATED TRIGONOMETRIC FUNCTION VALUES. SHOW SOLUTION. (1/2 CROSSWISE)
1. Given \( \sin \theta=\frac{3}{5} \) and \( \cos \theta>0 \), find \( \tan \theta \) and \( \sec \theta \).
2. If \( \cos \theta=-\frac{4}{5} \) and \( \cot \theta \) is negative find \( \csc \theta \) and \( \tan \theta \)
3. If \( \tan \theta=\frac{84}{13} \) and the terminal side of \( \theta \) lies in quadrant 3 , find \( \sin \theta \) and \( \sec \theta \) If \( \cot \theta=1 \) and the terminal side of \( \theta \) lies in quadrant 1 , find \( \csc \theta \) and \( \cos \theta \)