# Verify the Identity (cos(x)^2)/(1+sin(x))=1-1/(csc(x))

Verify the Identity (cos(x)^2)/(1+sin(x))=1-1/(csc(x))
Start on the left side.
Apply Pythagorean identity in reverse.
Simplify.
Simplify the numerator.
Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Cancel the common factor of .
Rewrite as .
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 hundred eighty-five million six hundred thirty-two thousand seven hundred eighty-one

### Interesting facts

• 185632781 has 4 divisors, whose sum is 185779200
• The reverse of 185632781 is 187236581
• Previous prime number is 1279

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 41
• Digital Root 5

### Name

Name one billion six hundred seventy-two million three hundred fifty-four thousand sixty-two

### Interesting facts

• 1672354062 has 8 divisors, whose sum is 2787256800
• The reverse of 1672354062 is 2604532761
• Previous prime number is 9

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 36
• Digital Root 9

### Name

Name four hundred sixteen million nine hundred thirty thousand seven hundred thirty-nine

### Interesting facts

• 416930739 has 4 divisors, whose sum is 555907656
• The reverse of 416930739 is 937039614
• Previous prime number is 3

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 42
• Digital Root 6