Examples of using Cosine of theta in English and their translations into Swedish
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Then what is the cosine of theta?
So this is just cosine of theta squared.
And the secant of theta is just 1 over cosine of theta.
These cosine of theta divided by cosine of theta, that is equal to 1.
Let's think about what the cosine of theta is.
So we have the cosine of theta is equal to the adjacent, is equal to x,
So dx is equal to 2 cosine of theta d theta. .
which is just the same thing as cosine of theta.
we say that cosine of theta is equal to adjacent over the hypotenuse.
it's very easy to figure out the cosine of theta, right?
We learned that sine of theta over cosine of theta is equal to tangent of theta. .
we get dx is equal to 2 cosine of theta d theta. .
This is equal to cosine of theta, that's just the derivative of sine of theta times our second expression.
I learned that the tangent of theta is equal to the sine of theta divided by the cosine of theta. Fine.
So that just says sine of theta over cosine of theta is equal to tangent of theta. .
So cosine of theta is equal to adjacent over hypotenuse,
So lets figure out the sine of theta, the cosine of theta, and what the tangent of theta are.
which is just cosine of theta.
That's the same thing as sine of theta over cosine of theta squared plus this is 1 over cosine theta squared, right?
that's the same thing as d d theta of sine of theta over cosine 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?
So in this case cosine of theta is equal to the adjacent side,
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.
Derivative of this with respect to theta is just cosine of theta, and if we want to write this in terms of dx, we could just write that dx is equal to square root of 3 over the square root of 2 cosine of theta d theta. .
we get dx d theta, is equal to 2 cosine of theta, derivative of this is just 0.
I have a cosine of theta divided by a cosine of theta, those cancel out, so we will just get 1,
that's just 2 times cosine of theta, times 2 times cosine of theta. .
2 sine of theta times cosine of theta, which is equal to this,
2 sine of theta cosine of theta, and of course we have a plus c.