# Verify the Identity (tan(x)^2+1)(cos(x)^2-1)=-tan(x)^2

Verify the Identity (tan(x)^2+1)(cos(x)^2-1)=-tan(x)^2
Start on the left side.
Apply Pythagorean identity.
Apply pythagorean identity.
Reorder and .
Rewrite as .
Factor out of .
Factor out of .
Rewrite as .
Apply pythagorean identity.
Convert to sines and cosines.
Apply the reciprocal identity to .
Apply the product rule to .
Simplify.
One to any power is one.
Combine and .
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 five hundred ninety-six million nine hundred thirty-eight thousand two hundred fifty-four

### Interesting facts

• 596938254 has 32 divisors, whose sum is 1420813440
• The reverse of 596938254 is 452839695
• Previous prime number is 11

### Basic properties

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

### Name

Name seven hundred fifty million four hundred sixty-eight thousand one hundred thirteen

### Interesting facts

• 750468113 has 4 divisors, whose sum is 750549360
• The reverse of 750468113 is 311864057
• Previous prime number is 10627

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 35
• Digital Root 8

### Name

Name one billion nine hundred fifty-three million five hundred three thousand five hundred eighteen

### Interesting facts

• 1953503518 has 4 divisors, whose sum is 2930255280
• The reverse of 1953503518 is 8153053591
• Previous prime number is 2

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 40
• Digital Root 4