Find sin x 2 , cos x 2 , and tan x 2 from the given information.

Question

tan(x)=square root 3 over 3, 0° < x < 90°

please include steps and final answer. I am struggling with these problems.

Thank you

Answer 1

tan(x)=square root 3 over 3, 0° < x < 90°

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/ X|

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/ | 3

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√3

Given: TanX = (√3 )/3

Then: The Hypotenuse = Square Root(√3)² + 3² ) = √(3+9) = 2√3

SinX = √3/2√3 = 1/2 Sin²(X) = 3/(4x3) = 1/4

CosX= 3/2√3 Cos²⁽X) = 9/(4x3) = 3/4

TanX = √3/3 Tan²(X) = 3/9 = 1/3