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Verified Answer :

If sin x = opposite / hypothenus = 1/2, then
adjacent = sqrt(hyp^2 - opp^2) = sqrt(2^2 - 1^2) = sqrt(4 - 1) = √3
cos x = adjacent / hypothenus = √3/2
tan x = opposite / adjacent = 1/√3

Answer:

Step-by-step explanation:

It is given that the value of sinx is \(\frac{1}{2}\).

Since, we know that \(sinx=\frac{Perpendicular}{hypotenuse}=\frac{1}{2}\), thus value of perpendicular is 1 and hypotenuse is 2.

Now, the value of the base will be:

\((Hyp)^{2}=(base)^{2}+(Perpendicular)^{2}\)

\((2)^2=(B)^2+(1)^2\)

\(4-1=(B)^2\)

\(Base=\sqrt{3}\)

Now, the value of \(tanx=\frac{P}{B}=\frac{1}{\sqrt{3}}\) and the value of \(cosx=\frac{B}{H}=\frac{\sqrt{3}}{2}\).