Please help answer Sin, Cos, Tan questions. File is attached w/pictures. I'll give everyone who attepts to answer a "good answer"

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Please help answer Sin, Cos, Tan questions. File is attached w/pictures. I'll give everyone who attepts to answer a "good answer"

Mathematics
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The answer to the first question can be determined by using pythagorean theorem. We do this inorder to find out the missing side of the triangle. The missing side comes out to be 2 root 11. From here we calculate sine (opposite over hypothenuse). This comes out to be 2 root 11 over twelve, which simplifies to root 11 over 6.
Cos is then determined by using the fact that cosine is adjacent over hypotenuse. That means that the ratio is 10 over 12 which simplifies to 5 over 6
Tangent is determined by the ratio opposite over adjacent. We found the "opposite" value of the triangle (in relation to the angle) as being 2 root 11. Using the definition of tangent (opp/adj) we see that the value of tan is 2 root 11 over 10, which simplifies to root 11 over 5.
we have given two sides in right triangle p = 10 , H=12, h^2= p^2+b^2 12^2= P^2+ 10^2 144-100=p^2 44 = p^2 p= 2\[\sqrt{11}\] Now sin = 2sqrt11/12 = sqrt11/6 anwser11 is b 12. cos = 10/12= 5/6 anwser 12 is a 13. tan= 2sqrt11/12= sqrt11/6 anwser 13 is b
For questions 14-16 we again find the missing leg, in this case the hypotenuse, by using the Pythagorean theorem. We come up with root 85(cant be simplified any further). Working in relation to the angle, sine is opp/hypo, so the value for sine is 7 over root 85.
Cosine is adj/hypo, which means that cos is 6 over root 85
Tan is opp/adj so the value for tan is 7 over 6
11. b 12. a 13. c
LagrangeSon678 ty so much! so far you've been great help :)
For question 17, tan gives us the value of the opp and adj legs, this mean that we still have to find the value of the hypotenuse. By using Pythagorean theorem, we determine that he value of the hypo is root 41. Now, we are looking for the cosine (adj/hypo), we simply plug in the corresponding values our triangle, in this case 4 over root 41
For question 18, we are given the value of the cos (adj/hypo) this means that we must compute the value of the missing leg. Using Pythagorean theorem, we determine that the value of the missing leg is 3. Now we can plug in the corresponding values into the ratio for sine, which is opp/hypo. In this case the opp value is 3 and the hypo is 7, thus sine is 3/7.
For question 19, we use Pythagorean theorem, to find the value of the missing leg. In this case it would be 1. Now the question asks us for a value of the angle itself. First off we should recall that there are certain known values of angles (we could say popular values for certain angles). One of which is 45 degrees. On the calculator there is a button labeled sin^-1, this is called the arcsine. Basically if we plug in certain values of a triangle it will give us the measure of the angle. If you plug in 1over root 2, we will get our answer (45 degrees).
For questions 20-22 we can simply plug in the values into the calculator. Remember to round up to 4 decimal places only.
I got 0.9994,0.1236, and 6.7997! :D
can you look at the other set of questions for me?
?

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