I need to find Sin, Cos, Tan, Cot, and Sec.

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I need to find Sin, Cos, Tan, Cot, and Sec. Only knowing that Csc θ=2 and cos θ is positive.

I have figured out what Cot=√3.

I am thinking that Tan=1/2, but when I entered this my study program didn't accept it

I am just getting into trig and I am only supposed to pythagorean identities.

Guest Jun 22, 2015

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Best Answer

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csc is 1/sin so if csc θ = 2 then sin θ = 1/2

cos θ = √(1 - sin²θ) = √(1 - 1/4) = √(3/4) = (√3)/2

sec θ = 1/ cos θ

tan θ = sin θ/cos θ = (1/2)/ (√3)/2 = 1/2*2/√3 = 1/√3

cot θ = 1/tan θ

.

Alan Jun 22, 2015

1⁺⁰ Answers

+33615

+5

Best Answer

csc is 1/sin so if csc θ = 2 then sin θ = 1/2

cos θ = √(1 - sin²θ) = √(1 - 1/4) = √(3/4) = (√3)/2

sec θ = 1/ cos θ

tan θ = sin θ/cos θ = (1/2)/ (√3)/2 = 1/2*2/√3 = 1/√3

cot θ = 1/tan θ

.

Alan Jun 22, 2015

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