Solve for x in Degrees sin(x)=cos(x)

Solve for x in Degrees sin(x)=cos(x)
Divide each term in the equation by .
Convert from to .
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Take the inverse tangent of both sides of the equation to extract from inside the tangent.
Simplify the right side.
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The exact value of is .
The tangent function is positive in the first and third quadrants. To find the second solution, subtract the reference angle from to find the solution in the fourth quadrant.
Add and .
Find the period of .
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The period of the function can be calculated using .
Replace with in the formula for period.
The absolute value is the distance between a number and zero. The distance between and is .
Divide by .
The period of the function is so values will repeat every degrees in both directions.
, for any integer
Consolidate the answers.
, for any integer
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Name

Name two hundred forty-five million three hundred fifty-one thousand four hundred thirty-two

Interesting facts

  • 245351432 has 16 divisors, whose sum is 828061110
  • The reverse of 245351432 is 234153542
  • Previous prime number is 2

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 29
  • Digital Root 2

Name

Name one billion seven hundred seventy-two million eight hundred forty thousand nine hundred ninety-nine

Interesting facts

  • 1772840999 has 8 divisors, whose sum is 1868984880
  • The reverse of 1772840999 is 9990482771
  • Previous prime number is 661

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 56
  • Digital Root 2

Name

Name one billion four hundred fourteen million two hundred five thousand eight hundred eighty-six

Interesting facts

  • 1414205886 has 8 divisors, whose sum is 2828411784
  • The reverse of 1414205886 is 6885024141
  • Previous prime number is 3

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 39
  • Digital Root 3