Find the Cosecant Given the Point (( square root of 10)/10,-(3 square root of 10)/10)

Find the Cosecant Given the Point (( square root of 10)/10,-(3 square root of 10)/10)
To find the between the x-axis and the line between the points and , draw the triangle between the three points , , and .
Opposite :
Adjacent :
Find the hypotenuse using Pythagorean theorem .
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Apply the product rule to .
Rewrite as .
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Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Evaluate the exponent.
Raise to the power of .
Cancel the common factor of and .
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Use the power rule to distribute the exponent.
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Apply the product rule to .
Apply the product rule to .
Apply the product rule to .
Simplify the expression.
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Raise to the power of .
Multiply by .
Simplify the numerator.
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Raise to the power of .
Rewrite as .
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Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Evaluate the exponent.
Reduce the expression by cancelling the common factors.
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Raise to the power of .
Multiply by .
Cancel the common factor of and .
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Combine the numerators over the common denominator.
Add and .
Divide by .
Any root of is .
therefore .
Simplify .
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Cancel the common factor of and .
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Rewrite as .
Move the negative in front of the fraction.
Multiply the numerator by the reciprocal of the denominator.
Multiply by .
Multiply by .
Combine and simplify the denominator.
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Multiply and .
Move .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Rewrite as .
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Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Evaluate the exponent.
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Approximate the result.
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Name

Name eight hundred ninety-eight million six hundred nineteen thousand six hundred nine

Interesting facts

  • 898619609 has 16 divisors, whose sum is 972861840
  • The reverse of 898619609 is 906916898
  • Previous prime number is 61

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 56
  • Digital Root 2

Name

Name three hundred forty-seven million four hundred forty thousand six hundred eighteen

Interesting facts

  • 347440618 has 16 divisors, whose sum is 598440384
  • The reverse of 347440618 is 816044743
  • Previous prime number is 211

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 37
  • Digital Root 1

Name

Name one billion one hundred seventy-three million nine hundred seventy thousand four hundred ninety-nine

Interesting facts

  • 1173970499 has 32 divisors, whose sum is 1442622720
  • The reverse of 1173970499 is 9940793711
  • Previous prime number is 163

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 50
  • Digital Root 5