Find the exact value of the expression_sec | sinSelect the correct choice and fill in any answer boxes in your choice below:sec sin(Type an exact answer; using radi...

Find the exact value of each expression. $$ \sec \left(\sin ^{-1} \frac{2 \sqrt{5}}{5}\right) $$

For this problem, we are asked to find the exact value from this trick expression. So we know that when whenever we're taking inverse of any trick function, we know that this part equals two data. So therefore the question is basically asking to find what is the second of data is. So we know that data equals to the inverse sine of negative 1/2. And therefore I can rewrite this as a sign of data equals two -1 half. And this is only true, which means that in order for the sign to have its inverse function, which means sine function has to be 1-1. We need to have a restricted domain for the data. So the data for sign has to be between negative pi over two And Pi over two. So therefore when we grab this, here's pi over two and here's negative pi over two. You know that the answer has to be between quadrant one and quadrant four. So because negative one half is negative. So then you know that the angle is going to be in quadrant four. So here's the angle. So if you draw a right triangle by definition, sign is opposite over the High park news. So you know that the opposite is negative one. So that's why it went down one. And the high park news is too, so therefore we need to find the adjacent side. Okay, so in order to find the adjacent side, you can just use the pythagorean theorem. So that's gonna be negative one squared plus a square which is the adjacent side equals to the happening square which is two square negative one. Square is one plus a squared equals to four. And subtract one. So a score equals three. And when you take the square root A has to be positive score three because you're on the positive x axis. So this is positive Square three. So now we know what data is. Now let's find out what seeking the data is. And by definition seeking of data equals to high park news over the adjacent side. So looking at this right triangle, the hypothesis to and the adjacent side is The square root of three. So therefore this is equivalent to two over square or three. And now we can simplify this by rationalize the denominator. So you can have a score three and the denominator. So you're gonna get rid of that by multiplied top and bottom by square or three. So therefore this gives you to the school 3/3 times three is nine and we know that the school nine is three. So that's the exact value for this trick expression.

Hello. The question is taken from analytic trigonometry where we need to find the value of this expression. So let me write the value of this expression second off sign Inverse -1 x two. Okay so let signing walls -1 x two is equal to tita then scientist to is equal to minus one by two. Okay so if scientific is equal to minus one by two then we can easily evaluate the well it means that uh if scientific is negative it means that our function doesn't lies in the 1st, 1st, 2nd or first squadron. It it either lies in the second quarter and all. Uh so it is allies in the third quadrant of fault squadron because in both of these quadrants sign value is negative. So let me evaluate the value of seeking tita from the scientist to scientist. This then coasted to is equal to squared one minus one by four. So that will be square with three by two. So since it is not in the second quarter. And so we can take that fertilizing the fourth quarter. And in order to evaluate this value, supposed to is it square three vital, then seek and tita is equal to to buy square footage. So we can write these three tires, second in Wales to buy squeals. Let me substitute this value in the expression. We get second off second in world to buy square tree and which is equal to two by square resistor directors of this expression of disclosure that

In the given question, we have to a friend. There you are. Circle signing what? Minus road? Tober. To do this, we should know the property. There is a property that if there is minus inside sign universe, then it's into gets all safety. Okay, So by using this property, I can say that my given question converts him to shackle minus or signing. Was that all about? Now again, there is a property into the laboratory. It says that if there is sec minus theta, then this minus gets the remote. So due to this reason, you can see here that there is minus, so it should get removed. And the question can work him too. Circle Signing the words Roto by. Okay, this is my commission. No, Let I assume that the value of signing words, but also to buy two years. It was to data long. Here you get scientific was too routes to where to again. I am making a right angled triangle. And from here this is my angle theater. It is ratio perpendicular and hyper tennis. So but can you raise zero to hyper than it is to? If we get based, there should be four minus two means the gospel no put on here. I am going to find value of sector later. So by this right angle triangle If we not develop said theater, we know it is simultaneous upon ways, so it should come out. Table tennis means to this means the rule book. Mm hmm. Hello. I am willing towards my question. What was my question? The equation One says that my question was, I have to find value of sack of signing words through October two. So I have to find value of Surkov Circle signing ourselves through two by two. No question. To says that sign universal route to buy towards it was to theater so it gets converted into theater Spectator. No. Here you can see that fellow secretary was two. Very so it comes out to be to go to now. Multiply Divide this value by route used to detect two room two by two. So this is my final answer. If you injured the video, then please do like it. Thank you

So sickened off sine inverse of 12/13 is saving, saying one over co sign sine inverse of 12/13. So when you're plugging in things on a calculator, you can do the operations like this since there is no second, so the answer here will be 2.6.