# Verify the Identity tan(theta)^2cos(theta)^2=1/(csc(theta)^2)

Verify the Identity tan(theta)^2cos(theta)^2=1/(csc(theta)^2)
Start on the left side.
Convert to sines and cosines.
Write in sines and cosines using the quotient identity.
Apply the product rule to .
Cancel the common factor of .
Now consider the right side of the equation.
Convert to sines and cosines.
Apply the reciprocal identity to .
Apply the product rule to .
Simplify.
Multiply the numerator by the reciprocal of the denominator.
Multiply by .
One to any power is one.
Divide by .
Because the two sides have been shown to be equivalent, the equation is an identity.
is an identity
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### Name

Name one billion nine hundred sixty-nine million three hundred twelve thousand seven hundred thirty-eight

### Interesting facts

• 1969312738 has 32 divisors, whose sum is 3092281920
• The reverse of 1969312738 is 8372139691
• Previous prime number is 59

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 49
• Digital Root 4

### Name

Name two billion fifty-seven million seven hundred ninety-five thousand one hundred seventeen

### Interesting facts

• 2057795117 has 4 divisors, whose sum is 2351765856
• The reverse of 2057795117 is 7115977502
• Previous prime number is 7

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 44
• Digital Root 8

### Name

Name one billion eight hundred twelve million four hundred two thousand fifty-six

### Interesting facts

• 1812402056 has 32 divisors, whose sum is 6148887552
• The reverse of 1812402056 is 6502042181
• Previous prime number is 191

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 29
• Digital Root 2