Trigonometry Examples

Find the Sine Given the Point (-11/61,-60/61)
Step 1
To find the between the x-axis and the line between the points and , draw the triangle between the three points , , and .
Opposite :
Adjacent :
Step 2
Find the hypotenuse using Pythagorean theorem .
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Step 2.1
Use the power rule to distribute the exponent.
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Step 2.1.1
Apply the product rule to .
Step 2.1.2
Apply the product rule to .
Step 2.2
Raise to the power of .
Step 2.3
Multiply by .
Step 2.4
Raise to the power of .
Step 2.5
Raise to the power of .
Step 2.6
Use the power rule to distribute the exponent.
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Step 2.6.1
Apply the product rule to .
Step 2.6.2
Apply the product rule to .
Step 2.7
Raise to the power of .
Step 2.8
Multiply by .
Step 2.9
Raise to the power of .
Step 2.10
Raise to the power of .
Step 2.11
Combine the numerators over the common denominator.
Step 2.12
Add and .
Step 2.13
Divide by .
Step 2.14
Any root of is .
Step 3
therefore .
Step 4
Divide by .
Step 5
Approximate the result.