# 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.
Divide each term in by .
Reduce the expression by cancelling the common factors.
Cancel the common factor.
Divide by .
Simplify each term.
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.
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 .
Factor out the greatest common factor .
Cancel the common factor.
Rewrite the expression.
Simplify.
Divide by .
Divide by .
Multiply by .
Simplify .
Simplify each term.
Rewrite in terms of sines and cosines.
Simplify .
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.
Simplify each term.
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.
Use the power rule to combine exponents.
Simplify with factoring out.
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 .
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.
Rewrite in terms of sines and cosines.
Simplify .
Multiply and .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Convert from to .
Rewrite in terms of sines and cosines, then cancel the common factors.
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.
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 three hundred forty-five million eight hundred eighty-two thousand eight hundred sixty-five

### Interesting facts

• 1345882865 has 16 divisors, whose sum is 1629783936
• The reverse of 1345882865 is 5682885431
• Previous prime number is 1031

### Basic properties

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

### Name

Name four hundred forty-seven million two hundred sixty-one thousand two hundred sixty-six

### Interesting facts

• 447261266 has 8 divisors, whose sum is 700061184
• The reverse of 447261266 is 662162744
• Previous prime number is 23

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 38
• Digital Root 2

### Name

Name one billion eight hundred ninety-three million nine hundred eighty-six thousand eight hundred fifty-five

### Interesting facts

• 1893986855 has 4 divisors, whose sum is 2272784232
• The reverse of 1893986855 is 5586893981
• Previous prime number is 5

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 62
• Digital Root 8