Solve for ? tan(x)+cot(x)=csc(x)sec(x)

Solve for ? tan(x)+cot(x)=csc(x)sec(x)
Since is on the right side of the equation, switch the sides so it is on the left side of the equation.
Divide each term by and simplify.
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Divide each term in by .
Reduce the expression by cancelling the common factors.
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Cancel the common factor.
Divide by .
Simplify each term.
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Rewrite in terms of sines and cosines.
Rewrite in terms of sines and cosines.
Multiply by the reciprocal of the fraction to divide by .
Write as a fraction with denominator .
Simplify.
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Divide by .
Convert from to .
Rewrite in terms of sines and cosines.
Rewrite in terms of sines and cosines.
Multiply by the reciprocal of the fraction to divide by .
Write as a fraction with denominator .
Cancel the common factor of .
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Factor out the greatest common factor .
Cancel the common factor.
Rewrite the expression.
Simplify.
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Divide by .
Divide by .
Multiply by .
Simplify .
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Simplify each term.
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Rewrite in terms of sines and cosines.
Simplify .
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Write as a fraction with denominator .
Multiply and .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Simplify each term.
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Factor out of .
Separate fractions.
Convert from to .
Divide by .
Divide each term in the equation by .
Rewrite in terms of sines and cosines.
Rewrite as a product.
Multiply and .
Simplify the denominator.
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Use the power rule to combine exponents.
Add and .
Simplify with factoring out.
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Rewrite as .
Rewrite as .
Convert from to .
Replace with an equivalent expression in the numerator.
Remove parentheses.
Multiply by .
Apply the distributive property.
Rewrite in terms of sines and cosines.
Simplify .
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Write as a fraction with denominator .
Multiply and .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Rewrite in terms of sines and cosines.
Simplify .
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Multiply and .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Convert from to .
Rewrite in terms of sines and cosines, then cancel the common factors.
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Reorder and .
Rewrite in terms of sines and cosines.
Cancel the common factors.
Replace with using the identity .
This is the proper way of writing a trigonometric expression raised to an exponent.
Multiply by .
This is the proper way of writing a trigonometric expression raised to an exponent.
Multiply by .
This is the proper way of writing a trigonometric expression raised to an exponent.
Multiply by .
For the two functions to be equal, the arguments of each must be equal.
Move all terms containing to the left side of the equation.
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Subtract from both sides of the equation.
Subtract from .
Since , the equation will always be true for any value of .
All real numbers
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Name

Name one billion two hundred thirty-two million one hundred five thousand sixty-six

Interesting facts

  • 1232105066 has 8 divisors, whose sum is 1849089060
  • The reverse of 1232105066 is 6605012321
  • Previous prime number is 1997

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 26
  • Digital Root 8

Name

Name nine hundred nineteen million nine hundred seventy-two thousand one hundred eighty

Interesting facts

  • 919972180 has 16 divisors, whose sum is 2483924940
  • The reverse of 919972180 is 081279919
  • Previous prime number is 5

Basic properties

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

Name

Name one billion one hundred twenty-six million seven hundred ninety-one thousand five hundred six

Interesting facts

  • 1126791506 has 4 divisors, whose sum is 1690187262
  • The reverse of 1126791506 is 6051976211
  • Previous prime number is 2

Basic properties

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