Примери за използване на Cosine squared на Английски и техните преводи на Български
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Minus 1 minus cosine squared of a.
Cosine squared of theta, and then cosine squared of theta.
So we get 3-- Well cosine squared x.
Cosine squared of a, sometimes it's called the power reduction identity right there.
And this is how you write cosine squared.
And so this is equal to the cosine squared of a minus 1 plus the cosine squared of a.
Well, what's sine squared theta over cosine squared theta?
Sine squared of x plus cosine squared of x, or of theta, is just 1, right?
And then-- What is the sine squared of 15 plus the cosine squared of 15?
So sine squared plus cosine squared of the same angle is 1.
We have 25 times sine squared of 15 plus cosine squared of 15.
We added 3 cosine x-- 3 cosine squared of x to both sides, right?
You actually go from here to here if you just divide both sides of this equation by cosine squared.
Well, this thing, sine squared plus cosine squared of any angle is 1.
So I would say cosine squared of theta plus sine of theta is 1/2, so 1/2 squared is equal to 1, right?
Minus 100 cosine of 15 degrees plus 25 cosine squared of 15 degrees.
And that is that the cosine squared of t plus the sine squared of t is equal to 1.
So sine squared x is equal to 1 minus cosine squared x, right?
So sine squared theta over cosine squared theta is tan squared theta, then plus 1 is 1 over cosine theta squared. .
Now what if I wanted to get an identity that gave me what cosine squared of a is in terms of this?
Cosine squared-- they're identical except for you have a plus 2a here for the cosine squared and you have a minus cosine of 2a here for the sine squared.
The sine squared of a plus the cosine squared of a is equal to 1.
My b is also an a in this situation, which I could rewrite as,this is equal to the cosine squared of a.
Well, this is the same thing as b squared times the sine squared theta plus cosine squared of theta.
We learned that sine squared theta plus cosine squared theta is equal to 1.
We just showed that sine squared of x is the same thing as 1 minus cosine squared of x.
So we could rewrite this identity as being equal to the cosine squared of a minus the sine squared of a.
So I just wanted to show you a use of this trig identity that's usually written sine squared plus cosine squared is equal to 1.
When we did this problem,we said that sine squared of t plus cosine squared of t is equal to 1.