# Verify the Identity (sec(B)+tan(B))(1-sin(B))=cos(B)

Verify the Identity (sec(B)+tan(B))(1-sin(B))=cos(B)
Start on the left side.
Simplify the expression.
Simplify each term.
Rewrite in terms of sines and cosines.
Rewrite in terms of sines and cosines.
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
Simplify each term.
Multiply by .
Rewrite using the commutative property of multiplication.
Combine and .
Multiply by .
Rewrite using the commutative property of multiplication.
Multiply .
Combine and .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Combine the numerators over the common denominator.
Apply pythagorean identity.
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Multiply by .
Cancel the common factor.
Rewrite the expression.
Divide by .
Because the two sides have been shown to be equivalent, the equation is an identity.
is an identity
Do you know how to Verify the Identity (sec(B)+tan(B))(1-sin(B))=cos(B)? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.

### Name

Name seven hundred sixty-five million two hundred sixty-nine thousand eight hundred fifty-nine

### Interesting facts

• 765269859 has 16 divisors, whose sum is 1075815680
• The reverse of 765269859 is 958962567
• Previous prime number is 631

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 57
• Digital Root 3

### Name

Name eight hundred eighty-nine million eight hundred seventy-four thousand six hundred five

### Interesting facts

• 889874605 has 32 divisors, whose sum is 1173596256
• The reverse of 889874605 is 506478988
• Previous prime number is 97

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 55
• Digital Root 1

### Name

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

### Interesting facts

• 1498987106 has 8 divisors, whose sum is 2248772304
• The reverse of 1498987106 is 6017898941
• Previous prime number is 8443

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 53
• Digital Root 8