# Verify the Identity cot(theta)+tan(theta)=(csc(theta))/(cos(theta))

Verify the Identity cot(theta)+tan(theta)=(csc(theta))/(cos(theta))
Start on the left side.
Convert to sines and cosines.
Write in sines and cosines using the quotient identity.
Write in sines and cosines using the quotient identity.
To write as a fraction with a common denominator, multiply by .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Multiply and .
Multiply and .
Reorder the factors of .
Combine the numerators over the common denominator.
Simplify each term.
Apply Pythagorean identity.
Rearrange terms.
Apply pythagorean identity.
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 two hundred seventy-one million three hundred twenty-seven thousand one hundred eighteen

### Interesting facts

• 271327118 has 8 divisors, whose sum is 410195712
• The reverse of 271327118 is 811723172
• Previous prime number is 127

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 32
• Digital Root 5

### Name

Name one billion seven hundred eleven million four hundred thirty-eight thousand three hundred thirteen

### Interesting facts

• 1711438313 has 16 divisors, whose sum is 1888641216
• The reverse of 1711438313 is 3138341171
• Previous prime number is 43

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 32
• Digital Root 5

### Name

Name one billion twenty-five million three thousand thirty-nine

### Interesting facts

• 1025003039 has 4 divisors, whose sum is 1025101056
• The reverse of 1025003039 is 9303005201
• Previous prime number is 11903

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 23
• Digital Root 5