Trigonometry Examples

Find the Tangent Given the Point (- square root of 5,1)
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
therefore .
Step 3
Simplify .
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Step 3.1
Cancel the common factor of and .
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Step 3.1.1
Rewrite as .
Step 3.1.2
Move the negative in front of the fraction.
Step 3.2
Multiply by .
Step 3.3
Combine and simplify the denominator.
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Step 3.3.1
Multiply by .
Step 3.3.2
Raise to the power of .
Step 3.3.3
Raise to the power of .
Step 3.3.4
Use the power rule to combine exponents.
Step 3.3.5
Add and .
Step 3.3.6
Rewrite as .
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Step 3.3.6.1
Use to rewrite as .
Step 3.3.6.2
Apply the power rule and multiply exponents, .
Step 3.3.6.3
Combine and .
Step 3.3.6.4
Cancel the common factor of .
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Step 3.3.6.4.1
Cancel the common factor.
Step 3.3.6.4.2
Rewrite the expression.
Step 3.3.6.5
Evaluate the exponent.
Step 4
Approximate the result.