tan(y)=1

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

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.

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