# Verify sec(x)-tan(x)sin(x)=1/(sec(x))

Verify sec(x)-tan(x)sin(x)=1/(sec(x))
Simplify .
Simplify terms.
Simplify each term.
Rewrite in terms of sines and cosines.
Rewrite in terms of sines and cosines.
Multiply .
Combine and .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Combine the numerators over the common denominator.
Apply pythagorean identity.
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Multiply by .
Cancel the common factor.
Rewrite the expression.
Divide by .
Simplify .
Rewrite in terms of sines and cosines.
Multiply by the reciprocal of the fraction to divide by .
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.
Always true
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### Name

Name forty-two million one hundred ninety-six thousand five hundred eighty-four

### Interesting facts

• 42196584 has 64 divisors, whose sum is 201056256
• The reverse of 42196584 is 48569124
• Previous prime number is 3

### Basic properties

• Is Prime? no
• Number parity even
• Number length 8
• Sum of Digits 39
• Digital Root 3

### Name

Name sixty-five million nine hundred forty-eight thousand four hundred twenty-one

### Interesting facts

• 65948421 has 32 divisors, whose sum is 111200256
• The reverse of 65948421 is 12484956
• Previous prime number is 71

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 8
• Sum of Digits 39
• Digital Root 3

### Name

Name one billion seven hundred sixteen million three hundred nine thousand one hundred fifteen

### Interesting facts

• 1716309115 has 16 divisors, whose sum is 2097538560
• The reverse of 1716309115 is 5119036171
• Previous prime number is 7747

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 34
• Digital Root 7