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Use 8 I6 sin301 sumitomproduct sin seinwuoyl o1l 1 8 3 Idifference 83 mompojd|...

Question

Use 8 I6 sin301 sumitomproduct sin seinwuoyl o1l 1 8 3 Idifference 83 mompojd|

Use 8 I6 sin301 sumitomproduct sin seinwuoyl o1l 1 8 3 Idifference 83 mompojd|



Answers

Use Exercise 43 to express $8 \sin u+15 \cos u$ in the form $c \sin (u+v)$.

So for this question were given for sign A x co sign a X and were asked to simplify it but not evaluate it. So when I see this, it looks really similar to the double angle formula for sign tooth data. And that equation is scientific data equals to sign Cosa Science Data Co signed data s so you can see that this is kind of mirrored in this sign. Eight X coasts. I need X or four signing ex coast yet. Okay. So we can rewrite this problem. Um, like this. So it's kind of so this coefficient makes it kind of tricky to see how we can rewrite it so we can split it up like this. So you know that if we had sign So let's let data you call eight X So we know if we had signed to data where Fayed is eight X, that would be signed 16 x, um, which would become when you expand it like this to sign eight x co sign eight X and so this is really close to what we have here. We're just missing a, um we just need to multiply this by two again. So we can take this part of our answer and just multiply by two. And if you expanded this, you would see that it would equal, um, the original formula given in the question. So the simplified version is to signed 16.

So we're going to evaluate this expression using the operations on his brackets comes first print disease. So we leave everything outside the parentheses intact. Like so this is gonna be to minus five. Is most three on this one is going to be It's one of six is two and now I can starts working on our multiplication. This multiplication comes before this attraction. Eights months three times six minus eight. Okay. And now we can do what's within these brackets for six months. Eights become a minus two. It's minus three. It's minus two. And now I can do this multiplication because it comes before subtraction. Uh, to become it's minus plus six. Enough. It is a It's minus. Wanna stick? I'm sorry. Eight months. Six. So how will be

Okay, So it's not that we have the same signs, so we'll take on that same sign on and some are two times. So this gives us a negative 4/8, and that's equal Teoh a negative 1/2.

Alright, guys. So first question you are two numbers here have the same sign they do, right? So there, butt naked up. So then our Kocian will be positive. Okay, so let's just forget about all the negative signs and just you Starvation like those. Okay, which will be 5/16 times eight over. Agree, right 16 divided by eight is too by 13 hour You prime numbers, So leave them as they are And then we will have 5/2 times three witches, 5/6. This right here is our final answer And get so much you listen me.


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