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trig project (area (If you have all 3 sides (S=(a+b+c)/2 A²=s(s-a)(s-b)(s…

- - - - For this problem you will have two sides and one angle. you will plug it into the equation so in this case you will have A=1/2(9)(12)sin(60) once you plug into the calculator you will get your answer in this case it will be A=46.76
  - - - To find the area using base and height you have to plug it into A=1/2(B)(H). In this case you will get A=1/2(10x11). which will be 55, meaning the area is 55.
- - - - Cosine means adjacent over hypotenuse
  - - - Sine means opposite over hypotenuse
- - - - Cos Θ = Adjacent / Hypo
    - - Cos Θ = Adjacent / Hypo
    - - Sin Θ = Opposite / Hypo
    - - Tan Θ = Opposite / Adjacent
    - - sin Θ= Opposite/ Hypotenuse
        
        In this problem we are trying to find the opposite using only the hypotenuse and the angle given to us. For this problem we will use Sine (opposite/ Hypotenuse). So in this case we have an angle of 48 and a hypo of 12. plugging this in we will get sin(48)=X/12. After that you can plug it into a calculator and you will get the answer.
    - - Tan Θ = Opposite / Adjacent
    - - a²+b²=c²
        
        First step to doing this problem is to label each side of the triangle. once done the second step will be that you plug in the numbers in the formula shown (a²+b²=c²), once done you do the square root and add up the numbers and get X by itself. In this case we get 38.2 and then we square the number getting 6.2.
  - - - C²= a²+b²-2ab CosC
    - - a/ Sin(A)= b/ Sin(B)= c/ Sin(C)
- - - - Cos-1(adj/hyp)
        
        For this problem you are using Cos-1 since you are using adj and hyp to find the angle. so you will plug it in and get Cos-1(10/17). after plugging in the numbers you can put it in the calculator and get your answer.
    - - Tan-1(opp/adj)
    - - Sin-1(hyp/opp)
        
        In this equation you have to use Sin-1 since in this case you are using the hyp and opp. In this case you are doing sin-1(15/12). you can put this in the calculator and you will get your answer.
  - - - Cos A= b²+c²-a²/ 2(b)(c)
    - - C²=a²+b²-2(a)(b)Cos(Θ)