Trigonometry Examples

Find the Sine (2/5,-( square root of 21)/5)
To find the between the x-axis and the line between the points and , draw the triangle between the three points , , and .
Opposite :
Adjacent :
Find the hypotenuse using Pythagorean theorem .
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Apply the product rule to .
Raise to the power of .
Raise to the power of .
Use the power rule to distribute the exponent.
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Apply the product rule to .
Apply the product rule to .
Simplify the expression.
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Raise to the power of .
Multiply by .
Rewrite as .
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Rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Evaluate the exponent.
Simplify the expression.
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Raise to the power of .
Combine the numerators over the common denominator.
Add and .
Divide by .
Any root of is .
therefore .
Divide by .
Approximate the result.
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