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.
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
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
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