Unit 3: Right Triangle Trigonometry 3.2 Finding Sides and Angles of Right Triangles

3.2 Missing Sides and Angles Daily Agenda functions angle input output

3.2 Missing Sides and Angles Daily Agenda x x x sin 𝑅 = 𝑂𝑃𝑃 𝐻𝑌𝑃 cos 𝐶 = 𝐴𝐷𝐽 𝐻𝑌𝑃 sin 𝐻 = 𝑂𝑃𝑃 𝐻𝑌𝑃 sin 19° = 𝑥 11 cos 46° = 19.2 𝑥 sin 34° = 11 𝑥 𝑥= 19.2 cos 46° 11∙ sin 19° =𝑥 𝑥= 11 sin 34° 3.58=𝑥 𝑥=27.64 𝑥=19.67

3.2 Missing Sides and Angles Daily Agenda Example 2 x tan 26° = 𝑂𝑃𝑃 𝐴𝐷𝐽 tan 50° = 𝑂𝑃𝑃 𝐴𝐷𝐽 tan 20° = 𝑂𝑃𝑃 𝐴𝐷𝐽 14.63=𝑥 𝑥=15.49 𝑥=6.92

3.2 Missing Sides and Angles Daily Agenda sin-1 cos-1 tan-1 Example 3 𝑡𝑎𝑛 𝑥 = 5 5 𝑡𝑎𝑛 𝑥 = 5 12 𝑐𝑜𝑠 𝑥 = 40 42 𝑡𝑎𝑛 𝑥 =1 tan −1 5 12 =𝑥 cos −1 40 42 =𝑥 tan −1 1 =𝑥 22.6°=𝑥 17.8°=𝑥 45°=𝑥

3.2 Missing Sides and Angles Daily Agenda Example 4 cos −1 70 86 =𝑥 cos −1 15 28 =𝑥 sin −1 19 23 =𝑥 57.6°=𝑥 55.7°=𝑥 35.5°=𝑥