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TRIGONOMERTYTRIGONOMERTY
Viktoriah Collins…
October 26th
How to use SOH, CAH, TOA
to solve the unknowns of a 90
degree angle!!
SOH…SOH…
 ratio of the length of the side opposite the given angle toratio of the length of the side opposite the given angle to
the length of the hypotenuse of a right-angled triangle.the length of the hypotenuse of a right-angled triangle.
S = sineS = sine
O = oppositeO = opposite
H = HypotenuseH = Hypotenuse
CAH…CAH…
 ratio of the adjacent side to the hypotenuse of a right-ratio of the adjacent side to the hypotenuse of a right-
angled triangle.angled triangle.
C = CosineC = Cosine
A= AdjacentA= Adjacent
H = HypotenuseH = Hypotenuse
TOA…TOA…
 ratio of the opposite to the adjacent side of a right-angledratio of the opposite to the adjacent side of a right-angled
triangletriangle
T = TangentT = Tangent
O = OppositeO = Opposite
A = AdjacentA = Adjacent
Summary…Summary…
 First step to trying to find an unknown side of a right triangle is toFirst step to trying to find an unknown side of a right triangle is to
name sides of the triangle. The opposite side will be the side that isname sides of the triangle. The opposite side will be the side that is
opposite of the given angle. The hypotenuse is the longest side andopposite of the given angle. The hypotenuse is the longest side and
the adjacent is the last side.the adjacent is the last side.
 Next step is to use the first letter in either SOH, CAH, or TOA toNext step is to use the first letter in either SOH, CAH, or TOA to
know which one you use. You will use the measurements of theknow which one you use. You will use the measurements of the
sides that are already given.sides that are already given.
 Then when you find what your using put the words into fraction formThen when you find what your using put the words into fraction form
and then sub in the numbers.and then sub in the numbers.
 Finally you will put the equation using the sin, cos, and tan buttonsFinally you will put the equation using the sin, cos, and tan buttons
on your calculator. The number that appears in your calculator is theon your calculator. The number that appears in your calculator is the
measurement of your last side.measurement of your last side.
Summary…Summary…
 First step to trying to find an unknown side of a right triangle is toFirst step to trying to find an unknown side of a right triangle is to
name sides of the triangle. The opposite side will be the side that isname sides of the triangle. The opposite side will be the side that is
opposite of the given angle. The hypotenuse is the longest side andopposite of the given angle. The hypotenuse is the longest side and
the adjacent is the last side.the adjacent is the last side.
 Next step is to use the first letter in either SOH, CAH, or TOA toNext step is to use the first letter in either SOH, CAH, or TOA to
know which one you use. You will use the measurements of theknow which one you use. You will use the measurements of the
sides that are already given.sides that are already given.
 Then when you find what your using put the words into fraction formThen when you find what your using put the words into fraction form
and then sub in the numbers.and then sub in the numbers.
 Finally you will put the equation using the sin, cos, and tan buttonsFinally you will put the equation using the sin, cos, and tan buttons
on your calculator. The number that appears in your calculator is theon your calculator. The number that appears in your calculator is the
measurement of your last side.measurement of your last side.

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Trigonomerty

  • 1. TRIGONOMERTYTRIGONOMERTY Viktoriah Collins… October 26th How to use SOH, CAH, TOA to solve the unknowns of a 90 degree angle!!
  • 2. SOH…SOH…  ratio of the length of the side opposite the given angle toratio of the length of the side opposite the given angle to the length of the hypotenuse of a right-angled triangle.the length of the hypotenuse of a right-angled triangle. S = sineS = sine O = oppositeO = opposite H = HypotenuseH = Hypotenuse
  • 3. CAH…CAH…  ratio of the adjacent side to the hypotenuse of a right-ratio of the adjacent side to the hypotenuse of a right- angled triangle.angled triangle. C = CosineC = Cosine A= AdjacentA= Adjacent H = HypotenuseH = Hypotenuse
  • 4. TOA…TOA…  ratio of the opposite to the adjacent side of a right-angledratio of the opposite to the adjacent side of a right-angled triangletriangle T = TangentT = Tangent O = OppositeO = Opposite A = AdjacentA = Adjacent
  • 5. Summary…Summary…  First step to trying to find an unknown side of a right triangle is toFirst step to trying to find an unknown side of a right triangle is to name sides of the triangle. The opposite side will be the side that isname sides of the triangle. The opposite side will be the side that is opposite of the given angle. The hypotenuse is the longest side andopposite of the given angle. The hypotenuse is the longest side and the adjacent is the last side.the adjacent is the last side.  Next step is to use the first letter in either SOH, CAH, or TOA toNext step is to use the first letter in either SOH, CAH, or TOA to know which one you use. You will use the measurements of theknow which one you use. You will use the measurements of the sides that are already given.sides that are already given.  Then when you find what your using put the words into fraction formThen when you find what your using put the words into fraction form and then sub in the numbers.and then sub in the numbers.  Finally you will put the equation using the sin, cos, and tan buttonsFinally you will put the equation using the sin, cos, and tan buttons on your calculator. The number that appears in your calculator is theon your calculator. The number that appears in your calculator is the measurement of your last side.measurement of your last side.
  • 6. Summary…Summary…  First step to trying to find an unknown side of a right triangle is toFirst step to trying to find an unknown side of a right triangle is to name sides of the triangle. The opposite side will be the side that isname sides of the triangle. The opposite side will be the side that is opposite of the given angle. The hypotenuse is the longest side andopposite of the given angle. The hypotenuse is the longest side and the adjacent is the last side.the adjacent is the last side.  Next step is to use the first letter in either SOH, CAH, or TOA toNext step is to use the first letter in either SOH, CAH, or TOA to know which one you use. You will use the measurements of theknow which one you use. You will use the measurements of the sides that are already given.sides that are already given.  Then when you find what your using put the words into fraction formThen when you find what your using put the words into fraction form and then sub in the numbers.and then sub in the numbers.  Finally you will put the equation using the sin, cos, and tan buttonsFinally you will put the equation using the sin, cos, and tan buttons on your calculator. The number that appears in your calculator is theon your calculator. The number that appears in your calculator is the measurement of your last side.measurement of your last side.