# Verify the Identity tan(x)+cot(x)=sec(x)csc(x)

Verify the Identity tan(x)+cot(x)=sec(x)csc(x)
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 .
Combine.
Combine.
Reorder the factors of .
Combine the numerators over the common denominator.
Simplify each term.
Apply pythagorean identity.
Now consider the right side of the equation.
Convert to sines and cosines.
Apply the reciprocal identity to .
Apply the reciprocal identity to .
Multiply and .
Because the two sides have been shown to be equivalent, the equation is an identity.
is an identity
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### Name

Name nine hundred eighty-three million nine hundred sixty-one thousand nine hundred thirty-three

### Interesting facts

• 983961933 has 16 divisors, whose sum is 1337407680
• The reverse of 983961933 is 339169389
• Previous prime number is 67

### Basic properties

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

### Name

Name nine hundred sixty-nine million five hundred ninety-eight thousand three hundred twelve

### Interesting facts

• 969598312 has 32 divisors, whose sum is 3273008148
• The reverse of 969598312 is 213895969
• Previous prime number is 8537

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 52
• Digital Root 7

### Name

Name one billion two hundred forty-three million six hundred eighty thousand four hundred four

### Interesting facts

• 1243680404 has 16 divisors, whose sum is 2851079148
• The reverse of 1243680404 is 4040863421
• Previous prime number is 53

### Basic properties

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