Question

If sine of x equals 1 over 2, what is cos(x) and tan(x)? Explain your steps in complete sentences.

Answer 1

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 2

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 $cosx=\frac{B}{H}=\frac{\sqrt{3}}{2}$.