Trigonometry Examples

Find the Cotangent Given the Point (-1/5,(2 square root of 6)/5)
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
Multiply the numerator by the reciprocal of the denominator.
Step 3.2
Cancel the common factor of .
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Step 3.2.1
Move the leading negative in into the numerator.
Step 3.2.2
Cancel the common factor.
Step 3.2.3
Rewrite the expression.
Step 3.3
Multiply by .
Step 3.4
Combine and simplify the denominator.
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Step 3.4.1
Multiply by .
Step 3.4.2
Move .
Step 3.4.3
Raise to the power of .
Step 3.4.4
Raise to the power of .
Step 3.4.5
Use the power rule to combine exponents.
Step 3.4.6
Add and .
Step 3.4.7
Rewrite as .
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Step 3.4.7.1
Use to rewrite as .
Step 3.4.7.2
Apply the power rule and multiply exponents, .
Step 3.4.7.3
Combine and .
Step 3.4.7.4
Cancel the common factor of .
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Step 3.4.7.4.1
Cancel the common factor.
Step 3.4.7.4.2
Rewrite the expression.
Step 3.4.7.5
Evaluate the exponent.
Step 3.5
Multiply by .
Step 4
Approximate the result.