Examples of using Cosine squared in English and their translations into Swedish
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So I have graphed this function right here, minus cosine squared of x times sin of x.
So we know that sine squared theta plus cosine squared theta is equal to 1.
That becomes the square root of cosine squared of theta, which is just the same thing as cosine of theta.
So we have cosine squared theta is equal to 3/4,
Cosine squared of x over y times all of this stuff over here, times all of this mess.
It's equal to the square root of 3 times the square root of cosine squared, so times cosine of theta.
So it's 1 over cosine squared of x over y,
But cosine squared of theta can be rewritten as 1/2 times 1 plus cosine of 2 theta.
we know that secant squared is the same thing as 1 over cosine squared.
This definite integral is from pi over 2 to pi of minus cosine squared of x times sin of x dx.
So I would say cosine squared of theta plus sine of theta is 1/2,
it's equal to 1 over y minus cosine squared of x over y.
This is the same thing as the integral from pi over 2 to pi of cosine squared of x.
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.
So I can rewrite this as equal to cosine squared of theta over cosine squared of theta, that's 1, plus sine squared theta over cosine squared of theta, now that we have a common denominator.
we get 1 over y minus cosine squared of x over y divided by this whole business right there. x over y squared plus cosine squared of x over y is equal to our dy dx.
The one thing we could do is we could divide both sides of this equation by cosine squared of theta, and let's just see what happens when we do that.
2 times the square root of cosine squared of theta, so that's just 2 times cosine of theta,
If we just focus on that term, this term right here can be rewritten as a sine of s-- if we factor that out-- times sine squared of t plus cosine squared of t times our unit vector, k.
but it can also be written as sin of x over cosine squared of x.