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Trigonometry Examples
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
Step 2.1
Use the power rule to distribute the exponent.
Step 2.1.1
Apply the product rule to .
Step 2.1.2
Apply the product rule to .
Step 2.2
Simplify the expression.
Step 2.2.1
Raise to the power of .
Step 2.2.2
Multiply by .
Step 2.3
Rewrite as .
Step 2.3.1
Use to rewrite as .
Step 2.3.2
Apply the power rule and multiply exponents, .
Step 2.3.3
Combine and .
Step 2.3.4
Cancel the common factor of .
Step 2.3.4.1
Cancel the common factor.
Step 2.3.4.2
Rewrite the expression.
Step 2.3.5
Evaluate the exponent.
Step 2.4
Raise to the power of .
Step 2.5
Cancel the common factor of and .
Step 2.5.1
Factor out of .
Step 2.5.2
Cancel the common factors.
Step 2.5.2.1
Factor out of .
Step 2.5.2.2
Cancel the common factor.
Step 2.5.2.3
Rewrite the expression.
Step 2.6
Use the power rule to distribute the exponent.
Step 2.6.1
Apply the product rule to .
Step 2.6.2
Apply the product rule to .
Step 2.7
Simplify the numerator.
Step 2.7.1
Raise to the power of .
Step 2.7.2
Rewrite as .
Step 2.7.2.1
Use to rewrite as .
Step 2.7.2.2
Apply the power rule and multiply exponents, .
Step 2.7.2.3
Combine and .
Step 2.7.2.4
Cancel the common factor of .
Step 2.7.2.4.1
Cancel the common factor.
Step 2.7.2.4.2
Rewrite the expression.
Step 2.7.2.5
Evaluate the exponent.
Step 2.8
Reduce the expression by cancelling the common factors.
Step 2.8.1
Raise to the power of .
Step 2.8.2
Multiply by .
Step 2.8.3
Cancel the common factor of and .
Step 2.8.3.1
Factor out of .
Step 2.8.3.2
Cancel the common factors.
Step 2.8.3.2.1
Factor out of .
Step 2.8.3.2.2
Cancel the common factor.
Step 2.8.3.2.3
Rewrite the expression.
Step 2.8.4
Simplify the expression.
Step 2.8.4.1
Combine the numerators over the common denominator.
Step 2.8.4.2
Add and .
Step 2.8.4.3
Divide by .
Step 2.8.4.4
Any root of is .
Step 3
therefore .
Step 4
Divide by .
Step 5
Approximate the result.