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Bellwork. Evaluate the six trig functions for: A) 5 π /4 B) π. Last Nights Homework. 2. sin Ө =5/13, cos Ө =12/13, tan Ө =5/12, csc Ө =13/5, sec Ө =13/12, cot Ө =12/5 (1/2, √3/2) 10. (1/2, - √3/2) 14. sin Ө =√3/2, cos Ө =1/2, tan Ө =√3 18. sin Ө =√3/2, cos Ө =-1/2, tan Ө =-√3
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Bellwork • Evaluate the six trig functions for: • A) 5π/4 • B) π
Last Nights Homework 2. sinӨ=5/13, cosӨ=12/13, tanӨ=5/12, cscӨ=13/5, secӨ=13/12, cotӨ=12/5 • (1/2, √3/2) 10. (1/2, -√3/2) 14. sinӨ=√3/2, cosӨ=1/2, tanӨ=√3 18. sinӨ=√3/2, cosӨ=-1/2, tanӨ=-√3 22. sinӨ=0, cosӨ=1, tanӨ=0 • sinӨ=-1, cosӨ=0, tanӨ=undefined, cscӨ=-1, secӨ=undefined, cotӨ=0 30. -1 32. √2/2 34. 0 36. -1/2 38. a) -3/8 b) -8/3 40. a) -3/4 b) -4/3
The Unit Circle 90o 60o 120o 135o 45o 150o 30o 0o, 360o 180o 210o 330o 315o 225o 300o 240o 270o
Pre-Calculus Day 38 4.4 Continued! -How do you find the evaluate the trig functions for all values?
Where are they positive? ALL SENIORS ALL STUDENTS All six tri g functions are positive Sin and csc are positive Tan and cot are positive Cos and sec are positive CRAZY TURN CLASS TAKE
Example 6: Given sinӨ and cosӨ, find the exact value of the four remaining trig functions.
Example 7: Find the exact value of the remaining trig functions.
Example 8: Find the exact value of each without a calculator.
Evaluating with a Calculator • Change the “mode” from degrees to radians. • Use x-1 to find csc, sec, cot since they are reciprocals of sin, cos, tan. Example 9:Evaluate using cal. Round to 4 decimals • A) sin 18o B) cos 390o C) sec 29o • D) cot 420o E) cos (20π/3) F) sec(9π/2) • G) csc 2.9 H) cot (10π/3) I) tan 3.2
Tonight’s Homework • Pg 320 #1, 20, 31-33, 52-64 even