Trigonometry Examples

Find the Sine Given the Point ( square root of 2, square root of 2)
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
Rewrite as .
Tap for more steps...
Step 2.1.1
Use to rewrite as .
Step 2.1.2
Apply the power rule and multiply exponents, .
Step 2.1.3
Combine and .
Step 2.1.4
Cancel the common factor of .
Tap for more steps...
Step 2.1.4.1
Cancel the common factor.
Step 2.1.4.2
Rewrite the expression.
Step 2.1.5
Evaluate the exponent.
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
Add and .
Step 2.3.2
Rewrite as .
Step 2.4
Pull terms out from under the radical, assuming positive real numbers.
Step 3
therefore .
Step 4
Approximate the result.