Trigonometry Examples

Find the Cosine Given the Point (24/25,7/25)
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
Find the hypotenuse using Pythagorean theorem .
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Step 2.1
Apply the product rule to .
Step 2.2
Raise to the power of .
Step 2.3
Raise to the power of .
Step 2.4
Apply the product rule to .
Step 2.5
Raise to the power of .
Step 2.6
Raise to the power of .
Step 2.7
Combine the numerators over the common denominator.
Step 2.8
Add and .
Step 2.9
Divide by .
Step 2.10
Any root of is .
Step 3
therefore .
Step 4
Divide by .
Step 5
Approximate the result.