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College Math Survey 2.3 Notes Mathematician: Monday 9.22.14 Finding Trigonometric Values Using a Calculator Ex 1: Approximate the value of each expression. First test for degree mode: Type sin 90o . If you are in the correct mode, your answer should be 1. A) sin 60 Note: We already know that sin 60o = 3 . 2 Which makes sense since 3 __________ 2 B) cos 45 Note: We already know that cos 45o =___________. Which makes sense since C) ** sec97.5 D) ** cot 51.4283 E) sin 246 1 2 or 2 ______ 2 Inverse Trig Functions sin 1 , cos 1 , tan 1 will give the angle measure that has that trig function value. Ex 2: Find an angle that satisfies each condition. A) tan 1.732050808 Note: We already know that tan 60o =____. Which makes sense since 3 __________ B) sin .977091705 C) ** sec 1.0545829 D) ** cot 1.2575516 Homework Use a calculator to find a decimal approximation for each value. Round each answer to the fourth decimal place. o 1) sin38.5 2) cos320o 3) tan 60o 5) sec312.75o 6) cot 41.35o o 4) csc145 Use a calculator to find the value of in the interval 0o ,90o that satisfies each statement. 7) sin .84802194 8) cos .27843196 cot 1.2575516 10) 11) sec 2.7496222 Use a calculator to determine if the following statements are true or false. 13) sin120o cos30o 14) 9) tan 1.4739716 12) csc 1.3861147 cos100o cos 80o sin100o sin 80o cos(100o 80o )