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How to find the missing angle of a triangle using trigonometry

User Hans Frankenstein
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2 Answers

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29 votes

Final answer:

To find the missing angle of a triangle using trigonometry, follow these steps: identify the known angles and sides, choose an appropriate trigonometric function, and solve for the missing angle using the inverse function.

Step-by-step explanation:

To find the missing angle of a triangle using trigonometry, you can use the trigonometric functions sine, cosine, and tangent. Here are the steps:

  1. Identify the known angles and sides of the triangle.
  2. Choose an appropriate trigonometric function based on the given information.
  3. Plug in the known values and use the inverse function to solve for the missing angle.

For example, if you know the lengths of two sides of a right triangle and want to find the missing angle, you can use the sine function:

sin(angle) = opposite/hypotenuse

Remember to always work in the same units (degrees or radians) for accuracy.

User Cristian Merighi
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3.1k points
29 votes
29 votes

Answer:

By using the SOH CAH TOA rule

Step-by-step explanation:

By using this rule you can find the missing length or an angle if 2 parts out of 3 are given in the question, if the Opposite and Hypotenuse are given you use Sine to figure out the angle, and etc for all of the other ones. More information can be found online! Hope this helps!

User Rodo
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3.6k points
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