Simplify cos(x)^2csc(x)-csc(x)

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Trigonometry

$\cos^{2} (x) \csc (x) - \csc (x)$

Simplify with factoring out.

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Factor $\csc (x)$ out of $\cos^{2} (x) \csc (x) - \csc (x)$ .

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Factor $\csc (x)$ out of $\cos^{2} (x) \csc (x)$ .

$\csc (x) \cos^{2} (x) - \csc (x)$

Factor $\csc (x)$ out of $- \csc (x)$ .

$\csc (x) \cos^{2} (x) + \csc (x) \cdot - 1$

Factor $\csc (x)$ out of $\csc (x) \cos^{2} (x) + \csc (x) \cdot - 1$ .

$\csc (x) (\cos^{2} (x) - 1)$

Reorder $\cos^{2} (x)$ and $- 1$ .

$\csc (x) (- 1 + \cos^{2} (x))$

Rewrite $- 1$ as $- 1 (1)$ .

$\csc (x) (- 1 (1) + \cos^{2} (x))$

Factor $- 1$ out of $\cos^{2} (x)$ .

$\csc (x) (- 1 (1) - 1 (- \cos^{2} (x)))$

Factor $- 1$ out of $- 1 (1) - 1 (- \cos^{2} (x))$ .

$\csc (x) (- 1 (1 - \cos^{2} (x)))$

Rewrite $- 1 (1 - \cos^{2} (x))$ as $- (1 - \cos^{2} (x))$ .

$\csc (x) (- (1 - \cos^{2} (x)))$

Apply pythagorean identity.

$\csc (x) (- \sin^{2} (x))$

Rewrite using the commutative property of multiplication.

$- \csc (x) \sin^{2} (x)$

Rewrite $\csc (x)$ in terms of sines and cosines.

$- \frac{1}{\sin (x)} \sin^{2} (x)$

Cancel the common factor of $\sin (x)$ .

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Move the leading negative in $- \frac{1}{\sin (x)}$ into the numerator.

$\frac{- 1}{\sin (x)} \sin^{2} (x)$

Factor $\sin (x)$ out of $\sin^{2} (x)$ .

$\frac{- 1}{\sin (x)} (\sin (x) \sin (x))$

Cancel the common factor.

$\frac{- 1}{\sin (x)} (\sin (x) \sin (x))$

Rewrite the expression.

$- \sin (x)$

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Name

Name	four hundred ninety-two million three hundred ninety-six thousand six hundred twenty-seven

Interesting facts

492396627 has 16 divisors, whose sum is 685981440
The reverse of 492396627 is 726693294
Previous prime number is 827

Basic properties

Is Prime? no
Number parity odd
Number length 9
Sum of Digits 48
Digital Root 3

Name

Name	nine hundred eighteen million two hundred fifty-one thousand seven hundred six

Interesting facts

918251706 has 8 divisors, whose sum is 1836503424
The reverse of 918251706 is 607152819
Previous prime number is 3

Basic properties

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

Name

Name	one billion eight hundred forty-five million forty-six thousand eight hundred two

Interesting facts

1845046802 has 16 divisors, whose sum is 2789707200
The reverse of 1845046802 is 2086405481
Previous prime number is 2029

Basic properties

Is Prime? no
Number parity even
Number length 10
Sum of Digits 38
Digital Root 2

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