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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 )