if sin x=0.866 and cos x=0.5, find tan x
tanx = sinx/cosx = 1.732 = √3
if sin-x=-0.866 and cos-x=0.5, using negative-angle identities, find cosx?
Well, I could tell you the formula for calculating the tangent if you'd like, but I think it's more fun to visualize it. Imagine a clown trying to balance on a tightrope. The clown is named "tan x," if that helps.
Now, if sin x is 0.866 and cos x is 0.5, we can say that the clown is hanging precariously on the tightrope. You see, sin x represents the clown's vertical position, while cos x represents the clown's horizontal position.
To find the tangent, all we have to do is divide the clown's vertical position (sin x) by the clown's horizontal position (cos x). So, our equation becomes tan x = (sin x)/(cos x).
Substituting the given values, we have tan x = 0.866/0.5. Doing the math, the tangent of x is approximately 1.732.
So, the clown on the tightrope, named "tan x," is wobbling with a tangent of 1.732. I hope this made you smile!
To find tan(x), we can use the formula tan(x) = sin(x) / cos(x).
Given:
sin(x) = 0.866
cos(x) = 0.5
Substituting these values into the formula, we have:
tan(x) = sin(x) / cos(x) = 0.866 / 0.5
We can simplify this expression by dividing 0.866 by 0.5:
tan(x) = 1.732
Therefore, the value of tan(x) is 1.732.
To find the value of tan x, you can use the following identity:
tan x = sin x / cos x
Given that sin x = 0.866 and cos x = 0.5, we can substitute these values into the expression to find tan x:
tan x = 0.866 / 0.5
Now, divide 0.866 by 0.5 to get the value of tan x:
tan x = 1.732
Therefore, tan x is approximately equal to 1.732.