Solve for x in Degrees 2sin(x)^2-cos(x)^2=2

Solve for x in Degrees 2sin(x)^2-cos(x)^2=2
Subtract from both sides of the equation.
Simplify .
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Move .
Reorder and .
Factor out of .
Factor out of .
Factor out of .
Apply pythagorean identity.
Subtract from .
Solve for .
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Divide each term in by and simplify.
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Divide each term in by .
Simplify the left side.
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Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify the right side.
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Divide by .
Take the square root of both sides of the equation to eliminate the exponent on the left side.
Simplify .
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Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Plus or minus is .
Take the inverse cosine of both sides of the equation to extract from inside the cosine.
Simplify the right side.
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The exact value of is .
The cosine function is positive in the first and fourth quadrants. To find the second solution, subtract the reference angle from to find the solution in the fourth quadrant.
Subtract from .
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
, for any integer
Consolidate the answers.
, for any integer
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Name

Name one billion five hundred seventy million thirty-nine thousand nine hundred ten

Interesting facts

  • 1570039910 has 8 divisors, whose sum is 2826071856
  • The reverse of 1570039910 is 0199300751
  • Previous prime number is 5

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 35
  • Digital Root 8

Name

Name two billion fifty-two million one hundred twenty-three thousand one hundred forty-six

Interesting facts

  • 2052123146 has 4 divisors, whose sum is 3078184722
  • The reverse of 2052123146 is 6413212502
  • Previous prime number is 2

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 26
  • Digital Root 8

Name

Name one billion seven hundred forty-seven million two hundred seventy-five thousand five hundred thirty-seven

Interesting facts

  • 1747275537 has 16 divisors, whose sum is 2748403712
  • The reverse of 1747275537 is 7355727471
  • Previous prime number is 31

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 48
  • Digital Root 3