# Verify the Identity (sec(x)^2-tan(x)^2+tan(x))/(sec(x))=sin(x)+cos(x)

Verify the Identity (sec(x)^2-tan(x)^2+tan(x))/(sec(x))=sin(x)+cos(x)
Start on the left side.
Apply pythagorean identity.
Convert to sines and cosines.
Write in sines and cosines using the quotient identity.
Apply the reciprocal identity to .
Simplify.
Multiply the numerator by the reciprocal of the denominator.
Apply the distributive property.
Multiply by .
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 seventy-seven million four hundred twenty-nine thousand six hundred sixty-six

### Interesting facts

• 77429666 has 4 divisors, whose sum is 116144502
• The reverse of 77429666 is 66692477
• Previous prime number is 2

### Basic properties

• Is Prime? no
• Number parity even
• Number length 8
• Sum of Digits 47
• Digital Root 2

### Name

Name one billion six hundred eighty-four million one hundred seventy-five thousand three hundred sixty-six

### Interesting facts

• 1684175366 has 4 divisors, whose sum is 2526263052
• The reverse of 1684175366 is 6635714861
• Previous prime number is 2

### Basic properties

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

### Name

Name one billion three hundred thirty-nine million fifty-five thousand four hundred ninety-one

### Interesting facts

• 1339055491 has 4 divisors, whose sum is 1339129584
• The reverse of 1339055491 is 1945509331
• Previous prime number is 31271

### Basic properties

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