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(Setting up the correct trigonometric function for a right triangle. (Set…
Setting up the correct trigonometric function for a right triangle.
Set up a cosine ration
Set up a tangent ratio
2= The opposite side is always the side across the angle, the Hypotenuse is always the side across the right angle, and the one left is the adjacent.
3=Now, if you have: Opposite and Hypotenuse you will use Sin, Adjacent and Hypotenuse=Cosine, Opposite and Adjancent=Tangent.
1=First you have to find what trigonometry ratio you will use (Sin,Cos,Tan), in order to do that, you have to label your triangle (Hypotenuse, adjacent, Opposite)
4=First you get the ratio (tan) + parentheses the angle= Opposite over Hypotenuse, you should have a fraction like this one: Tan=35/12
Set up a Sine Ratio
2= The opposite side is always the side across the angle, the Hypotenuse is always the side across the right angle, and the one left is the adjacent.
3=Now, if you have: Opposite and Hypotenuse you will use Sin, Adjacent and Hypotenuse=Cosine, Opposite and Adjancent=Tangent.
Explanation
1=First you have to find what trigonometry ratio you will use (Sin,Cos,Tan), in order to do that, you have to label your triangle (Hypotenuse, adjacent, Opposite)
4=First you get the ratio (sin) + parentheses the angle= Opposite over Hypotenuse, you should have a fraction like this one: Sin=6/10
Solving for the area of a triangle.
If you have all 3 sides.
If you have 2 sides and the included angle.
If you have the Height and base
Using the formula 1/2xheightxbase
Now you switch for the numbers in the triangle, should get 1/2x6x8
Type everything in the calculator, and get the final answer:24
Solving for a missing side
In a right Triangle
If you have the Hypotenuse, and want the the adjacent side.
Sin(41)=7.3/x 7.3 divided by sin(41)=11.1
1=First you have to find what trigonometry ratio you will use(Sin,Cos,Tan), in order to do that, you have to label your triangle (Hypotenuse, adjacent, Opposite).
2= The opposite side is always the side across the angle, the Hypotenuse is always the side across the right angle, and the one left is the adjacent.
3=Now, if you have: Opposite and Hypotenuse you will use Sin, Adjacent and Hypotenuse=Cosine, Opposite and Adjancent=Tangent.
4=First you get the ratio (sin) + parentheses the angle= Opposite over Hypotenuse, you should have a fraction like this one: Sin(41)=7.3/x
5= Since the x is under in the fraction, you will divide 7 by sin(31), typing that in the calculator you will get: 11.1
If you have the opposite side, and want the adjacent.
Tan(41)=8.3/x 8.3 divided by Tan(41)=9.5
If you Have the Opposite side, and want the Hypotenuse
Sin(31)=7/x 7 divided by sin(31)=13.5
Explanation
1=First you have to find what trigonometry ratio you will use
(Sin,Cos,Tan), in order to do that, you have to label your triangle (Hypotenuse, adjacent, Opposite).
2= The opposite side is always the side across the angle, the Hypotenuse is always the side across the right angle, and the one left is the adjacent.
3=Now, if you have: Opposite and Hypotenuse you will use Sin, Adjacent and Hypotenuse=Cosine, Opposite and Adjancent=Tangent.
4=First you get the ratio (sin) + parentheses the angle= Opposite over Hypotenuse, you should have a fraction like this one: Sin(31)=7/x.
5= Since the x is under in the fraction, you will divide 7 by sin(31), typing that in the calculator you will get: 13.5
If you have the adjacent side, and want the opposite.
Tan(28)=x/7 7 x Tan(28)=3.7
If you have Hypotenuse, want opposite side.
Sin(51)=x/18 18.sin(51)=14
If you have any two sides of the triangle and no angle.
12(square)+x(square)=13.5(square) 144+x(square)=182.5 take square root of: X(square)=38.25 - x=6.2
If you the Adjacent side, want the Hypotenuse.
Tan(51)=10/x 10 didived by Tan(51)=8
In a general Triangke
If you have two known sides and an included angle.
C(2)=27(2)+15(2)-2(27)(15) cos(100) , C(2)=1094.6, take square root= 33in(2)
2- Switch the letters in the formula for their numbers in the triangle.
3- C(2)=27(square)+15(square)-2(27)(15)cos (100)
1- label the sides ( A and B, However you want)
4- Type that in the calculator and get the equation: C(2)=1094.6
5- Take the square root out of that equation, and get the answer 33 in(2)
If you have two angles and a side opposite one of the known angles.
Solving for a missing angle
In a right Triangle
If you have the side adjacent to the unknown angle and the Hypotenuse.
Sin-1(.292)=17
If you have the side opposite the opposite the unknown angle and the side adjacent to the unknown angle.
If you have the side opposite the unkown angle and the Hypotenuse
2= The opposite side is always the side across the angle, the Hypotenuse is always the side across the right angle, and the one left is the adjacent.
3=Now, if you have: Opposite and Hypotenuse you will use Sin, Adjacent and Hypotenuse=Cosine, Opposite and Adjancent=Tangent.
1=First you have to find what trigonometry ratio you will use (Sin,Cos,Tan), in order to do that, you have to label your triangle (Hypotenuse, adjacent, Opposite)
4= Now you add the numbers to the formula of Sin.
Should get
7= Now type the fraction into the inverse mode of the ratio, by hiting the button 2nd in the calculator and hit the Sin button and at last you put 2 divided by 3.
Should get the answer: 41.8
In a general Triangle
If you have 3 sides of a triangle.
Now using inverse law of cosine you will divide the numbers above the fraction by the ones below.
You should get the final answer 48.
Now you will multiply the numbers under the fraction 2 x a x B=1028.58.
Using the Formula
You will add by the Number A= 21.7 and B=23.6, and subtract by the side across the angle
If you have two sides of a triangle and an angle across from one of the sides.
