Trigonometry equations

label Mathematics
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schedule 1 Day
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tan(y)=1 

Find cos(y) and sec(y) and sin(y)

Apr 8th, 2015

Use the identity: 1 + tan^2 y = sec^2 y. Then sec^2 y = 2, and either sec y = sqrt{2} or sec y = - sqrt{2}.

There are two answers:

a) sec y = sqrt{2}; cos y = 1/sqrt{2} = sqrt{2}/2 = 0.7071;  sin y = tan y * cos y =  sqrt{2}/2 = 0.7071;   

b) sec y = -sqrt{2}; cos y = -1/sqrt{2} = - sqrt{2}/2 = - 0.7071;   sin y = tan y * cos y = - sqrt{2}/2 = - 0.7071. 

Apr 8th, 2015

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Apr 8th, 2015
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Apr 8th, 2015
Jun 28th, 2017
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