Warm-up: Find the exact values of the other 5 trigonometric functions given sin= 3 2 with 0 <  < 90 CW: Right Triangle Trig

4) 𝑠𝑖𝑛= 2 2 , 𝑐𝑜𝑠= 2 2 , 𝑡𝑎𝑛=1, 𝑐𝑠𝑐= 2 , 𝑠𝑒𝑐= 2 , 𝑐𝑜𝑡=1 HW Answers: pg.387 (2 – 16 even, 33 – 36, 37 – 39, 47 – 52, 59 – 66) 2) 𝑠𝑖𝑛= 5 13 , 𝑐𝑜𝑠= 12 13 , 𝑡𝑎𝑛= 5 12 , 𝑐𝑠𝑐= 13 5 , 𝑠𝑒𝑐= 13 12 , 𝑐𝑜𝑡= 12 5 4) 𝑠𝑖𝑛= 2 2 , 𝑐𝑜𝑠= 2 2 , 𝑡𝑎𝑛=1, 𝑐𝑠𝑐= 2 , 𝑠𝑒𝑐= 2 , 𝑐𝑜𝑡=1 6) 𝑠𝑖𝑛= 8 15 , 𝑐𝑜𝑠= 161 15 , 𝑡𝑎𝑛= 8 161 161 , 𝑐𝑠𝑐= 15 8 , 𝑠𝑒𝑐= 15 161 161 , 𝑐𝑜𝑡= 161 8 8) 𝑠𝑖𝑛= 5 5 , 𝑐𝑜𝑠= 2 5 5 , 𝑡𝑎𝑛= 1 2 , 𝑐𝑠𝑐= 5 , 𝑠𝑒𝑐= 5 2 , 𝑐𝑜𝑡=2 10) 𝑠𝑖𝑛= 26 26 , 𝑐𝑜𝑠= 5 26 26 , 𝑡𝑎𝑛= 1 5 , 𝑐𝑠𝑐= 26 , 𝑠𝑒𝑐= 26 5 12) 𝑠𝑖𝑛= 2 6 7 , 𝑡𝑎𝑛= 2 6 5 , 𝑐𝑠𝑐= 7 6 12 , 𝑠𝑒𝑐= 7 5 , 𝑐𝑜𝑡= 5 6 12 14) 𝑠𝑖𝑛= 4 17 , 𝑐𝑜𝑠= 273 17 , 𝑡𝑎𝑛= 4 273 273 , 𝑠𝑒𝑐= 17 273 273 , 𝑐𝑜𝑡= 273 4 16) 𝑐𝑜𝑠= 55 8 , 𝑡𝑎𝑛= 3 55 55 , 𝑐𝑠𝑐= 8 3 , 𝑠𝑒𝑐= 8 55 55 , 𝑐𝑜𝑡= 55 3 33) 𝑎. 1 2 𝑏. 3 3 34) 𝑎. 2 𝑏. 2 2 35) 𝑎. 1 𝑏. 2 2 36) a. 3 2 𝑏. 2 37) a. 0.1736 b. 0.1736 38) a. 0.4348 b. 0.4348 39) a. 0.2815 b. 3.5523

a. 30°= 𝜋 6 𝑏. 30°= 𝜋 6 a. 45°= 𝜋 4 𝑏. 45°= 𝜋 4 a. 60°= 𝜋 3 𝑏. 45°= 𝜋 4 a. 60°= 𝜋 3 𝑏. 60°= 𝜋 3 59) 32 3 3 60) 20 2 23.3 68.7 6.1 96.6 17.25 ft a. b. 6/3 = h/135 c.270ft h 6 132 3

Sneedlegrit: Let  be an acute angle such that tan = 4 Find the other six trigonometric functions. CW: Right Triangle Trig