Final Answer:
1. $ x = 7.2 / \cos(70^\circ) \approx 21.0 $, $ y = 7.2 \tan(70^\circ) \approx 19.8 $
2. $ x = 20 \cos(16^\circ) \approx 19.2 $, $ y = 20 \sin(16^\circ) \approx 5.5 $
3. $ x = 5 \tan(50^\circ) \approx 6.0 $, $ y = 5 / \cos(50^\circ) \approx 7.8 $
4. $ x = 10 \cos(64^\circ) \approx 4.4 $, $ y = 10 \sin(64^\circ) \approx 9.0 $
5. $ x = y $, and $ x = 5 / \sqrt{2} \approx 3.5 $, so $ x \approx 3.5 $, $ y \approx 3.5 $
6. $ x = 1 \cdot \cos(30^\circ) = \sqrt{3}/2 \approx 0.87 $, y = 1 \cdot \sin(30^\circ) = 0.5 $
7. $ x = 27 \cdot \sin(30^\circ) = 13.5 $, $ y = 27 \cdot \cos(30^\circ) = 27 \cdot \sqrt{3}/2 \approx 23.4 $
8. $ x = 6 / \tan(30^\circ) = 6\sqrt{3} \approx 10.4 $, $ y = 6 / \sin(30^\circ) = 12 $
9. $ x = \tan^{-1}(6/4) \approx 56^\circ $, $ y = \tan^{-1}(4/6) \approx 34^\circ $
10. $ x = \tan^{-1}(7/14) = \tan^{-1}(0.5) \approx 27^\circ $, $ y = 90^\circ - x \approx 63^\circ $
Parent Tip: Review the logic above to help your child master the concept of trigonometry worksheet and answers.
