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 one billion three hundred five million six hundred seventy thousand nine hundred ninety

Interesting facts

  • 1305670990 has 16 divisors, whose sum is 2530993248
  • The reverse of 1305670990 is 0990765031
  • Previous prime number is 5

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 40
  • Digital Root 4

Name

Name three hundred seventy-two million four hundred fifty-six thousand nine hundred eleven

Interesting facts

  • 372456911 has 16 divisors, whose sum is 395525280
  • The reverse of 372456911 is 119654273
  • Previous prime number is 59

Basic properties

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

Name

Name seven hundred thirty-four million seven hundred seventy-two thousand eight hundred thirteen

Interesting facts

  • 734772813 has 8 divisors, whose sum is 993117888
  • The reverse of 734772813 is 318277437
  • Previous prime number is 73

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 42
  • Digital Root 6