Verify the Identity sec(x)-cos(x)=sin(x)tan(x)
Start on the left side.
Apply the reciprocal identity to .
Write as a fraction with denominator .
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.
Multiply by .
Combine the numerators over the common denominator.
Multiply .
Apply pythagorean identity.
Now consider the right side of the equation.
Write in sines and cosines using the quotient identity.
Multiply .
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 six hundred sixty-seven million five hundred eighty-seven thousand five hundred sixty-five |
|---|
Interesting facts
- 1667587565 has 8 divisors, whose sum is 1717023744
- The reverse of 1667587565 is 5657857661
- Previous prime number is 977
Basic properties
- Is Prime? no
- Number parity odd
- Number length 10
- Sum of Digits 56
- Digital Root 2
Name
| Name | nine hundred ten million three hundred six thousand three hundred eighty-six |
|---|
Interesting facts
- 910306386 has 32 divisors, whose sum is 1657791360
- The reverse of 910306386 is 683603019
- Previous prime number is 677
Basic properties
- Is Prime? no
- Number parity even
- Number length 9
- Sum of Digits 36
- Digital Root 9
Name
| Name | one billion four hundred ninety-one million three hundred thirty-seven thousand eight hundred thirty-three |
|---|
Interesting facts
- 1491337833 has 8 divisors, whose sum is 1988938848
- The reverse of 1491337833 is 3387331941
- Previous prime number is 4217
Basic properties
- Is Prime? no
- Number parity odd
- Number length 10
- Sum of Digits 42
- Digital Root 6