Trigonometry Examples

Find the Cosine Given the Point (-1,-7)
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 .
Tap for more steps...
Step 2.1
Raise to the power of .
Step 2.2
Raise to the power of .
Step 2.3
Add and .
Step 2.4
Rewrite as .
Tap for more steps...
Step 2.4.1
Factor out of .
Step 2.4.2
Rewrite as .
Step 2.5
Pull terms out from under the radical.
Step 3
therefore .
Step 4
Simplify .
Tap for more steps...
Step 4.1
Move the negative in front of the fraction.
Step 4.2
Multiply by .
Step 4.3
Combine and simplify the denominator.
Tap for more steps...
Step 4.3.1
Multiply by .
Step 4.3.2
Move .
Step 4.3.3
Raise to the power of .
Step 4.3.4
Raise to the power of .
Step 4.3.5
Use the power rule to combine exponents.
Step 4.3.6
Add and .
Step 4.3.7
Rewrite as .
Tap for more steps...
Step 4.3.7.1
Use to rewrite as .
Step 4.3.7.2
Apply the power rule and multiply exponents, .
Step 4.3.7.3
Combine and .
Step 4.3.7.4
Cancel the common factor of .
Tap for more steps...
Step 4.3.7.4.1
Cancel the common factor.
Step 4.3.7.4.2
Rewrite the expression.
Step 4.3.7.5
Evaluate the exponent.
Step 4.4
Multiply by .
Step 5
Approximate the result.