SOLUTION: c. use the reference angle and appropriate sign to find the exact value of each expression.show solution. 1.csc 510degrees 2.cot(-225degrees) 3.sec120degrees 4.cos 13pi symbol/3 5

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: c. use the reference angle and appropriate sign to find the exact value of each expression.show solution. 1.csc 510degrees 2.cot(-225degrees) 3.sec120degrees 4.cos 13pi symbol/3 5      Log On


   

Question 1188000: c. use the reference angle and appropriate sign to find the exact value of each expression.show solution. 1.csc 510degrees 2.cot(-225degrees) 3.sec120degrees 4.cos 13pi symbol/3 5.tan(-10 pi symbol/3) 6.sin 5 pi symbol/4 thank u so much...
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
use the reference angle and appropriate sign to find the exact value of each expression. show solution.
1.csc 510degrees
=csc(150) = 1/sin(150) = 1/sin(30) = 1/(1/2) = 2
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2.cot(-225degrees)
Step 1, add or subtract 360 degs to find a positive angle between 0 and 360 (0 and 2pi in radians).
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cot(-225degrees) = cot(135)
= 1/tan(135)
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3.sec120degrees
= 1/cos(120)
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4.cos 13pi/3 - 2pi = 7pi/3
7pi/3 - 2pi = pi/3
cos(pi/3) = cos(60) degs = 1/2
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5.tan(-10pi/3)
Add 4pi
= tan(2pi/3) = tan(120) degs
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6.sin(5pi) = sin(pi) = sin(180) = 0
thank u so much...