Trigonometry Examples

Find the Secant Given the Point (- square root of 3,-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
Find the hypotenuse using Pythagorean theorem .
Tap for more steps...
Step 2.1
Simplify the expression.
Tap for more steps...
Step 2.1.1
Apply the product rule to .
Step 2.1.2
Raise to the power of .
Step 2.1.3
Multiply by .
Step 2.2
Rewrite as .
Tap for more steps...
Step 2.2.1
Use to rewrite as .
Step 2.2.2
Apply the power rule and multiply exponents, .
Step 2.2.3
Combine and .
Step 2.2.4
Cancel the common factor of .
Tap for more steps...
Step 2.2.4.1
Cancel the common factor.
Step 2.2.4.2
Rewrite the expression.
Step 2.2.5
Evaluate the exponent.
Step 2.3
Simplify the expression.
Tap for more steps...
Step 2.3.1
Raise to the power of .
Step 2.3.2
Add and .
Step 2.3.3
Rewrite as .
Step 2.4
Pull terms out from under the radical, assuming positive real numbers.
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
Raise to the power of .
Step 4.3.3
Raise to the power of .
Step 4.3.4
Use the power rule to combine exponents.
Step 4.3.5
Add and .
Step 4.3.6
Rewrite as .
Tap for more steps...
Step 4.3.6.1
Use to rewrite as .
Step 4.3.6.2
Apply the power rule and multiply exponents, .
Step 4.3.6.3
Combine and .
Step 4.3.6.4
Cancel the common factor of .
Tap for more steps...
Step 4.3.6.4.1
Cancel the common factor.
Step 4.3.6.4.2
Rewrite the expression.
Step 4.3.6.5
Evaluate the exponent.
Step 5
Approximate the result.