Trigonometry Examples

Find the Asymptotes (y^2)/9-(x^2)/36=1
Step 1
Simplify each term in the equation in order to set the right side equal to . The standard form of an ellipse or hyperbola requires the right side of the equation be .
Step 2
This is the form of a hyperbola. Use this form to determine the values used to find the asymptotes of the hyperbola.
Step 3
Match the values in this hyperbola to those of the standard form. The variable represents the x-offset from the origin, represents the y-offset from origin, .
Step 4
The asymptotes follow the form because this hyperbola opens up and down.
Step 5
Simplify .
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Step 5.1
Add and .
Step 5.2
Combine and .
Step 6
Simplify .
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Step 6.1
Add and .
Step 6.2
Combine and .
Step 7
This hyperbola has two asymptotes.
Step 8
The asymptotes are and .
Asymptotes:
Step 9