Finding the 6 trig functions
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Finding the 6 trig functions

[From: ] [author: ] [Date: 11-09-14] [Hit: ]
Sec, Cot, and Csc.I pretty much know how to do it except when working with fractions.The problem is this Find the values of the six trigonometric functions that passes through the following points. In this case the following points are (1/4,......
In school right now were working on finding the 6 trig functions. Sin, Cos, Tan, Sec, Cot, and Csc.
I pretty much know how to do it except when working with fractions. The problem is this "Find the values of the six trigonometric functions that passes through the following points. In this case the following points are (1/4,1/2). Please help me figure this out. THanks.

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h ² = (1/4) ² + (1/2) ² = 1/16 + 4/16 = 5/16
h = √5/4

sin Ө = (1/2) / (√5/4) = 2/√5______csc Ө = √5/2
cos Ө = (1/4) / (√5/4) = 1/√5_____ sec Ө = √5
tan Ө = (1/2) / (1/4) = 2__________cot Ө = 1/2

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Gven-point P(1/4, 1/2),
SO,
adjasent = 1/4 = 0.25
Opposite = 1/2 = 0.5

Hypotinues = sqrt[0.25^2 + 0.5^2] = 0.559

sinϴ = opposit/hypotinues = 0.5/0.559 = 0.8944 >===< ANSWER

cosϴ = adjasent/hypotinues = 0.25/0.559 = 0.4472 >==< ANSWER

tanϴ = opposit/adjasent = 0.5/0.25 = 2 >========< ANSWER

cotϴ = adjasent/opposit = 0.25/0.5 = 0.5 >======< ANSWER

secϴ = hypotinues/adjasent = 0.559/0.25 = 2.7951 >===< ANSWER

cscϴ = hypotinues/opposit = 0.559/0.5 = 1.118 >===< ANSWER
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