Question

The value of
sin 600° cos 330° + cos 120° sin 150° is :​

Answer 1

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=> -1

Solutions:

•sin 600° cos 330° + cos 120° sin 150°

=> sin(720° - 120°)cos(180° + 150°)+ cos120°sin150°

=> sin120°cos150° + cos120°sin150°

=> sin(120° + 150°)

=> sin270° = sin(180° + 90°)

=> -sin90° = -1

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Answer 2

Answer:

=> -1

Solutions:

•sin 600° cos 330° + cos 120° sin 150°

=> sin(720° - 120°)cos(180° + 150°)+ cos120°sin150°

=> sin120°cos150° + cos120°sin150°

=> sin(120° + 150°)

=> sin270° = sin(180° + 90°)

=> -sin90° = -1