Examples of using Theta is equal in English and their translations into Swedish
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Theta is equal to arctangent x over 6.
So you get 140 plus theta is equal to 180.
Tangent of theta is equal to the opposite-- which is y-- over the adjacent-- which is x.
So we could say 50 plus 90 plus theta is equal to 180.
We figured that out here. theta is equal to arcsine the square root of 2 over the square root of 3x.
you get r sine theta is equal to y.
We know that sine theta is equal to x minus 3 over 2.
sine squared theta plus cosine squared theta is equal to 1.
So we know that sine of theta is equal to opposite over hypotenuse, right?
And then, of course, you can-- in case I haven't done it already, you now know that sine of theta over cosine of theta is equal to tangent of theta.
So the derivative of tangent of theta is equal to secant squared of theta. .
So cosine of theta is equal to adjacent over hypotenuse,
Subtract 140 from both sides so theta is equal to 40 degrees.
So in this case cosine of theta is equal to the adjacent side,
You could write it as the arctan of the tangent of theta is equal to the arctan of 4/3.
So we have the cosine of theta is equal to the adjacent, is equal to x,
We can also specify it by r is equal to 5, and theta is equal to 53 degrees.
I learned that the tangent of theta is equal to the sine of theta divided by the cosine of theta. Fine.
Well, our most basic trigonometric identity-- this comes from the unit circle definition-- is that the sine squared of theta plus the cosine squared of theta is equal to 1.
we say that cosine of theta is equal to adjacent over the hypotenuse.
You get theta is equal to, right, the arc sine of the sine is just theta. Theta is equal to the arc sine of x minus 3 over 2.
So the derivative of x with respect to theta is equal to square root of 3 over square root of 2.
we could do either-- we could get cosine squared of theta is equal to 1 minus sine squared of theta.
we have to say that theta is equal to arc sine of x minus 3 over 2.
So tangent of theta is equal to the opposite-- which is really the y-coordinate, which is equal to 4-- over the adjacent.
So that just says sine of theta over cosine of theta is equal to tangent of theta. .
So we have cosine squared theta is equal to 3/4, or cosine of theta would be the square root of this, right?
We learned that sine of theta over cosine of theta is equal to tangent of theta. .
So the sine of theta is equal to the opposite-- which is the y side, which is equal to y-- over the hypotenuse, which is r.
because the sine of theta is equal to the sine of the arc sine of x minus 3 over 2.