# Verify the Identity cot(x)(cot(x)+tan(x))=csc(x)^2

Verify the Identity cot(x)(cot(x)+tan(x))=csc(x)^2
Start on the left side.
Apply the distributive property.
Multiply .
Apply Pythagorean identity in reverse.
Convert to sines and cosines.
Apply the reciprocal identity to .
Write in sines and cosines using the quotient identity.
Write in sines and cosines using the quotient identity.
Apply the product rule to .
Simplify.
Simplify each term.
One to any power is one.
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Now consider the right side of the equation.
Convert to sines and cosines.
Apply the reciprocal identity to .
Apply the product rule to .
One to any power is one.
Because the two sides have been shown to be equivalent, the equation is an identity.
is an identity
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### Name

Name four hundred ninety-five million seven hundred ninety-eight thousand four hundred fifty-seven

### Interesting facts

• 495798457 has 16 divisors, whose sum is 619517952
• The reverse of 495798457 is 754897594
• Previous prime number is 463

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 58
• Digital Root 4

### Name

Name one billion eight hundred eighty-six million four hundred ninety-three thousand nine hundred twelve

### Interesting facts

• 1886493912 has 64 divisors, whose sum is 8523071424
• The reverse of 1886493912 is 2193946881
• Previous prime number is 251

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 51
• Digital Root 6

### Name

Name one billion five hundred eighteen million eight hundred nineteen thousand five hundred twenty-eight

### Interesting facts

• 1518819528 has 32 divisors, whose sum is 6834687984
• The reverse of 1518819528 is 8259188151
• Previous prime number is 3

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 48
• Digital Root 3