Given that sin x 2/is an acute angle find the tan x
We cannot determine the value of tan x with the information given.
To find the value of tan(x), we can use the relationship between sine and tangent.
It is given that sin(x) = 2/is, where is represents an acute angle.
We can start by finding the value of cos(x) using the Pythagorean identity: sin^2(x) + cos^2(x) = 1.
Since sin(x) = 2/is, we can substitute this in the equation:
(2/is)^2 + cos^2(x) = 1
Simplifying this equation, we get:
4/i^2s^2 + cos^2(x) = 1
Rearranging the terms, we have:
cos^2(x) = 1 - 4/i^2s^2
Taking the square root of both sides, we have:
cos(x) = √(1 - 4/i^2s^2)
Finally, to find tan(x), we can use the relationship: tan(x) = sin(x)/cos(x).
Substituting the values, we have:
tan(x) = (2/is) / √(1 - 4/i^2s^2)
This is the expression for tangent of x in terms of the given values.