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Advanced Algebra and Trig – Section 5.2 Day 4 – Special Triangles – Day #2 Remember: Special Triangle Theorems: EXAMPLES: Find the values of the missing sides of each triangle. Evaluate the trig function. 1) 2) Find sin 60 =_______ 3) Find cos 60 =_______ Find tan 60 =_______ ___________________________________________________________________________________ 5 2 x 4) 60 y 66 34 xa y Find sin 45 =_______ 5) y Find cos 30 =_______ 6) 60 c x Find tan 60 =_______ 8. Find sin 60 =_______ 9. Find cos 60 =_______ Find tan 45 =_______ Find tan 60 =_______ Find sin 45 =_______ Find cos 45 =_______ Find sin 30 =_______ Find cos 45 =_______ Find tan 45 =_______ Find cos 60 =_______ Find cos 60 =_______ Find sin 45 =_______ More Practice! Use a calculator to find the value of the trigonometric function to three decimal places. Set calculator to degree mode sin 42 ENTER (graphing calculator) ____________________ ENTER o 2) cos 23 ____________________ sin is the ratio, h 42 is the angle 3) tan 45.7 ____________________ 0.669 is the value of sin 30 ___________________________________________________________________ 4) csc 23 Remember the Reciprocal Trig functions! 1 1 1 Csc = Sec Cot sin cos tan sin 2 3 ) ENTER Use the keys 1 1) sin 42 (Remember that ____________________ 1 means reciprocal.) x 5) cot 45.7 ____________________ 6) sec 23 ____________________ 7) csc 60 ____________________ 8) cos Set calculator to Radian mode. cos ( 4 ) ENTER (graphing calculator) 4 ____________________ 9) sin 10) tan 3 5 3 ____________________ ____________________ ___________________________________________________________________ Remember the Reciprocal Trig functions! 11) csc 6 1 1 1 Csc = Sec Cot sin cos tan Use the keys __________________ 12) cot 13) csc 14) sec 6 3 3 _____________________ ____________________ ____________________ 1 ENTER sin 6 ) Using the special right triangles and the trig ratios, evaluate these expressions. Rationalize denominators if necessary. 1) sin 45 2) cos 30 3) tan 60 4) sin 30 5) cos 45 6) tan 45 7) tan 30 8) cos 60 9) sin 60