How to find missing angle or side in right angle triangle
To find a missing angle or side in a right-angled triangle, you can use trigonometric ratios such as sine, cosine, and tangent. These ratios relate the angles of a triangle to the lengths of its sides.
Here's how you can use trigonometry to find a missing angle or side in a right-angled triangle:
Identify the known values: Determine which angles or sides of the triangle are already known.
Use the appropriate trigonometric ratio: Depending on what you're trying to find, choose the trigonometric ratio that relates the known values to the unknown value. The three primary trigonometric ratios are:
Sine (sin): Opposite / Hypotenuse
Cosine (cos): Adjacent / Hypotenuse
Tangent (tan): Opposite / Adjacent
Set up the equation: Write the equation using the chosen trigonometric ratio and the known values. Substitute the known values into the equation and leave the unknown value as a variable.
Solve the equation: Rearrange the equation to isolate the unknown value. You can use algebraic manipulation and properties to simplify the equation and solve for the unknown value.
Calculate the value: Substitute the known values into the equation and evaluate it to find the missing angle or side.
It's important to note that if you're using the sine, cosine, or tangent ratios to find an angle, you'll most likely need to use the inverse trigonometric functions (arcsin, arccos, or arctan) to find the angle itself.
Remember to use units of measurement consistently throughout your calculations (degrees or radians) and ensure that you're working with a right-angled triangle
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