Find the Other Trig Values in Quadrant IV sec(theta)=(2 square root of 3)/3

Find the Other Trig Values in Quadrant IV sec(theta)=(2 square root of 3)/3
Use the definition of secant to find the known sides of the unit circle right triangle. The quadrant determines the sign on each of the values.
Find the opposite side of the unit circle triangle. Since the adjacent side and hypotenuse are known, use the Pythagorean theorem to find the remaining side.
Replace the known values in the equation.
Negate .
Opposite
Apply the product rule to .
Opposite
Raise to the power of .
Opposite
Rewrite as .
Use to rewrite as .
Opposite
Apply the power rule and multiply exponents, .
Opposite
Combine and .
Opposite
Cancel the common factor of .
Cancel the common factor.
Opposite
Rewrite the expression.
Opposite
Opposite
Evaluate the exponent.
Opposite
Opposite
Multiply by .
Opposite
Raise to the power of .
Opposite
Multiply by .
Opposite
Subtract from .
Opposite
Opposite
Find the value of sine.
Use the definition of sine to find the value of .
Substitute in the known values.
Simplify the value of .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Move the negative in front of the fraction.
Find the value of cosine.
Use the definition of cosine to find the value of .
Substitute in the known values.
Simplify the value of .
Multiply by .
Combine and simplify the denominator.
Multiply and .
Move .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Rewrite as .
Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Evaluate the exponent.
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Find the value of tangent.
Use the definition of tangent to find the value of .
Substitute in the known values.
Move the negative in front of the fraction.
Find the value of cotangent.
Use the definition of cotangent to find the value of .
Substitute in the known values.
Simplify the value of .
Move the negative in front of the fraction.
Multiply by .
Combine and simplify the denominator.
Multiply and .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Rewrite as .
Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Evaluate the exponent.
Cancel the common factor of .
Cancel the common factor.
Divide by .
Find the value of cosecant.
Use the definition of cosecant to find the value of .
Substitute in the known values.
Simplify the value of .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Move the negative one from the denominator of .
Multiply by .
This is the solution to each trig value.
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Name

Name one billion eight hundred three million three hundred seventy-three thousand five hundred forty-two

Interesting facts

• 1803373542 has 16 divisors, whose sum is 4808996160
• The reverse of 1803373542 is 2453733081
• Previous prime number is 3

Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 36
• Digital Root 9

Name

Name one billion five hundred seventy-seven million four hundred three thousand five hundred ten

Interesting facts

• 1577403510 has 16 divisors, whose sum is 2538966528
• The reverse of 1577403510 is 0153047751
• Previous prime number is 167

Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 33
• Digital Root 6

Name

Name seven hundred thirty-seven million six hundred thousand three hundred twenty-four

Interesting facts

• 737600324 has 16 divisors, whose sum is 1659901248
• The reverse of 737600324 is 423006737
• Previous prime number is 6983

Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 32
• Digital Root 5