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

Verify the Identity (cos(x)sin(x))/(cot(x))=1-cos(x)^2
Start on the left side.
Simplify the expression.
Separate fractions.
Rewrite in terms of sines and cosines.
Multiply by the reciprocal of the fraction to divide by .
Write as a fraction with denominator .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Divide by .
Multiply .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Apply Pythagorean identity in reverse.
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 thirty-seven million five hundred fifty-six thousand nine hundred seventy-eight

### Interesting facts

• 137556978 has 16 divisors, whose sum is 296276736
• The reverse of 137556978 is 879655731
• Previous prime number is 13

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 51
• Digital Root 6

### Name

Name one billion five hundred sixty-one million one hundred fifteen thousand one hundred ten

### Interesting facts

• 1561115110 has 16 divisors, whose sum is 2932181856
• The reverse of 1561115110 is 0115111651
• Previous prime number is 23

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 22
• Digital Root 4

### Name

Name one billion eight hundred sixty-four million seven hundred thirty-eight thousand six hundred forty

### Interesting facts

• 1864738640 has 128 divisors, whose sum is 11497399200
• The reverse of 1864738640 is 0468374681
• Previous prime number is 67

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 47
• Digital Root 2