Expand Using Sum/Difference Formulas tan(15pi-2t)

Expand Using Sum/Difference Formulas tan(15pi-2t)
Use the difference formula for tangent to simplify the expression. The formula states that .
Remove parentheses.
Simplify the numerator.
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Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Rewrite as .
Subtract full rotations of until the angle is greater than or equal to and less than .
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because tangent is negative in the second quadrant.
The exact value of is .
Multiply by .
Multiply by .
Add and .
Simplify the denominator.
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Subtract full rotations of until the angle is greater than or equal to and less than .
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because tangent is negative in the second quadrant.
The exact value of is .
Multiply by .
Multiply by .
Add and .
Divide by .
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Name

Name one billion two hundred sixty-eight million two hundred eighty-three thousand two hundred ninety-two

Interesting facts

  • 1268283292 has 16 divisors, whose sum is 2860141680
  • The reverse of 1268283292 is 2923828621
  • Previous prime number is 439

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 43
  • Digital Root 7

Name

Name nine hundred eleven million sixteen thousand two hundred fifty-two

Interesting facts

  • 911016252 has 64 divisors, whose sum is 3645578880
  • The reverse of 911016252 is 252610119
  • Previous prime number is 3733

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 27
  • Digital Root 9

Name

Name four hundred twenty-nine million six hundred sixty-three thousand nine hundred seventy-one

Interesting facts

  • 429663971 has 8 divisors, whose sum is 484887600
  • The reverse of 429663971 is 179366924
  • Previous prime number is 29

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 47
  • Digital Root 2