If sin(x) = 1/2, what is cos(x) and tan(x)? Explain your steps in complete sentences

Solution:

Given: sin(x) = 1/2

Using the trigonometric identity

sin²(x) + cos²(x) = 1

Substituting the value

(1/2)² + cos²(x) = 1

cos²(x) = 3/4

cos(x) = ±√3/2

We know that

tan(x) = sin(x)/cos(x)

Substituting the values

tan(x) =±(1/2)/( √3/2)

So we get,

tan(x) = ±1/√3

Therefore, cos(x) is ±√3/2 and tan(x) is ±1/√3.

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If sin(x) = 1/2, what is cos(x) and tan(x)? Explain your steps in complete sentences

Summary:

If sin(x) = 1/2 then the value of cos(x) is ±√3/2 and tan(x) is ±1/√3.