Question

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

Answer 1

Explanation:

It is given that the value of sinx is
`(1)/(2)`.

Since, we know that
`sinx=(Perpendicular)/(hypotenuse)=(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=√(3)`

Now, the value of
`tanx=(P)/(B)=(1)/(√(3))` and the value of
`cosx=(B)/(H)=(√(3))/(2)`.

Answer 2

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