Trigonometry Examples

Find the Trig Values Using Angle B tri{12}{}{13}{}{5}{}
Step 1
Find the opposite side of the unit circle triangle. Since the adjacent side and hypotenuse are known, use the Pythagorean theorem to find the remaining side.
Step 2
Replace the known values in the equation.
Step 3
Simplify inside the radical.
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Step 3.1
Raise to the power of .
Opposite
Step 3.2
Raise to the power of .
Opposite
Step 3.3
Multiply by .
Opposite
Step 3.4
Subtract from .
Opposite
Step 3.5
Rewrite as .
Opposite
Step 3.6
Pull terms out from under the radical, assuming positive real numbers.
Opposite
Opposite
Step 4
Find the value of cosine.
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Step 4.1
Use the definition of cosine to find the value of .
Step 4.2
Substitute in the known values.
Step 5
Find the value of sine.
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Step 5.1
Use the definition of sine to find the value of .
Step 5.2
Substitute in the known values.
Step 6
Find the value of tangent.
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Step 6.1
Use the definition of tangent to find the value of .
Step 6.2
Substitute in the known values.
Step 7
Find the value of cotangent.
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Step 7.1
Use the definition of cotangent to find the value of .
Step 7.2
Substitute in the known values.
Step 8
Find the value of secant.
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Step 8.1
Use the definition of secant to find the value of .
Step 8.2
Substitute in the known values.
Step 9
Find the value of cosecant.
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Step 9.1
Use the definition of cosecant to find the value of .
Step 9.2
Substitute in the known values.
Step 10
This is the solution to each trig value.