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CoS.f(r) = In(52? +9)*4(32 _ 1)2 f() = 12 + 7*...

Question

CoS.f(r) = In(52? +9)*4(32 _ 1)2 f() = 12 + 7*

CoS. f(r) = In(52? +9)* 4(32 _ 1)2 f() = 12 + 7*



Answers

$$ \cos 6 a=32 \cos ^{6} a-48 \cos ^{4} a+18 \cos ^{2} a-1 $$

Mhm Hello. So the question given here is 100 technologic identities. So we need to verify here whether the left hand side is equal to right hand side. So like me write the statement of course 36 Degrees- C. Into force 36° plus A. Plus schools. Okay. 54 degree plus E. Who's 54°- A. Is equal to? Let me verify whether this is equal to cause of two. Okay, so I we're going to use I'm going to use is the left hand side and using two identities are. So if one identity, I'm going to put this left hand side. Is that the right hand side? So that will be to pose a course be So that will be course A plus weeks plus schools A -7. Okay, so I'm going to use this identity on both of these storms. So taking multiplying and dividing by two. So we will get to and for strong schools. 36 tingling minus and into pose 36 degree plus a plus sign. 54 degree minus a sign. So of course. Mhm mm. Course 54 degree minus A. Was 54 degrees plus eight. Okay. And what they would do well here and using that identity we get half of to cause a ghostly schools A. Plus B. It means statistics degree minus A. Plus 36 degree plus A. And plus force A minus B. Uh So in A minus B. 36 figure well begins allowed and one thing we always remember that courses and even function. It means cause of minus of three to its course of twitter. So because of to A plus goes 54 degree minus A. Plus 54 degree plus A. That will be +18 180 degrees. Let's goes off the way. Okay so now they will begin set out here we get half post 72 degree plus. Too close to a. We know that course we can write it. S course 1 80 degree minus 72 degrees. Another thing we remember that causes negative in the second quadrant it means cause when a T minus theta is minus course of data. So that will be half of course 72 degree Plus two goes to a Minour course 72°. So the 72° will be cancelled out, will be canceled out. And then we get that is all that difficult to close off, which is a very quiet right hand side. So hope this clears your doubt.

In a triangle with the exact information has to find the exact value of the side D. And so these problems and the next few problems I'm going to do regarding the law, coastlines and give you are just pretty much straight forward Plug in tow law, coastlines problems. So if you'd like to draw a quick picture, you would have some triangle D s. And then you would have this side eight three, and then you'd have your angle here. And this is the side you want, so you can just go ahead and plug in right away. You'd have d squared is equal to a squared plus three squared minus two times, eight times three. And then it gives you the full co sign of D until the coastline of D is 3/4. Thanks already and so we can go ahead and solve this very quickly. We have 64 plus nine. 64 plus nine is given here. 73 Remind us well, two times a. But first, let's take this eight and cancel with before giving us a two. So now we have two times two times three. So two times two is four times three is 12 times three is 36 and so we have 73 minus 36. Get 37 d squared is equal to 37 and Cindy is equal to the square to 37 30 seven's prime. You can't factor that any further into simple.

But they make those in terms of sign. You're sorry. Pirate of two minus tea party over eight. So does the track of two fractions. We could have a common denominator. Be. So you're four times Meyers 3.8 would use equal to the sign. Probably did.

In this question, we have to find the core function for course. Off three Pie divided by eight We know cost data can be written is signed off by divided by two minus teeter Putting the really off teeter We get sign off by divided by two minus three pie divided by eight Solving it, we get sign off by divided by it.


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