# Verify the Identity sin(3x)=(sin(x))(4cos(x)^2-1)

Verify the Identity sin(3x)=(sin(x))(4cos(x)^2-1)
Start on the right side.
Apply Pythagorean identity in reverse.
Apply the distributive property.
Simplify each term.
Apply the distributive property.
Simplify.
Simplify each term.
Move to the left of .
Multiply by by adding the exponents.
Move .
Multiply by .
Raise to the power of .
Use the power rule to combine exponents.
Move to the left of .
Move to the left of .
Rewrite as .
Subtract from .
Apply the sine triple-angle identity.
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 hundred ninety-two million three hundred ninety-one thousand one hundred sixty-seven

### Interesting facts

• 192391167 has 4 divisors, whose sum is 256521560
• The reverse of 192391167 is 761193291
• Previous prime number is 3

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 39
• Digital Root 3

### Name

Name one billion nine hundred sixty-four million six hundred thirty-five thousand eight hundred sixty-three

### Interesting facts

• 1964635863 has 8 divisors, whose sum is 2625198576
• The reverse of 1964635863 is 3685364691
• Previous prime number is 461

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 51
• Digital Root 6

### Name

Name two hundred thirty-nine million seven hundred thirty-seven thousand eight hundred fifty-two

### Interesting facts

• 239737852 has 32 divisors, whose sum is 545771520
• The reverse of 239737852 is 258737932
• Previous prime number is 167

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 46
• Digital Root 1