# Verify the Identity (sec(x)+1)/(tan(x))=(sin(x))/(1-cos(x))

Verify the Identity (sec(x)+1)/(tan(x))=(sin(x))/(1-cos(x))
Start on the right side.
Multiply by .
Combine.
Simplify numerator.
Apply the distributive property.
Multiply by .
Simplify denominator.
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
Apply pythagorean identity.
Simplify.
Factor out of .
Multiply by .
Factor out of .
Factor out of .
Cancel the common factors.
Now consider the left side of the equation.
Convert to sines and cosines.
Apply the reciprocal identity to .
Write in sines and cosines using the quotient identity.
Simplify.
Multiply the numerator by the reciprocal of the denominator.
Apply the distributive property.
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Multiply by .
Combine the numerators over the common denominator.
Because the two sides have been shown to be equivalent, the equation is an identity.
is an identity
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### Name

Name one billion seventy-three million seven hundred ninety-six thousand nine hundred eighty-four

### Interesting facts

• 1073796984 has 256 divisors, whose sum is 7010502912
• The reverse of 1073796984 is 4896973701
• Previous prime number is 97

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 54
• Digital Root 9

### Name

Name one billion two hundred twenty-two million two hundred eleven thousand four hundred ninety-four

### Interesting facts

• 1222211494 has 16 divisors, whose sum is 2129569056
• The reverse of 1222211494 is 4941122221
• Previous prime number is 61

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 28
• Digital Root 1

### Name

Name one billion nine hundred thirty-six million two hundred sixty-four thousand fifteen

### Interesting facts

• 1936264015 has 8 divisors, whose sum is 2655447840
• The reverse of 1936264015 is 5104626391
• Previous prime number is 7

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 37
• Digital Root 1