Question

if sin²theta -sin theta -2=0then what permissible value of sin theta ?
options are a)1
b)0
c)-1
d)2​

Answer 1

Answer:

given, sin² - sin -2 = 0

=> sin( sin -1 ) -2 = 0

=> sin -1 = 2/sin => sin = 2/sin +1

=> sin = (2 +sin) /sin => 2 +sin = sin/sin

=> sin = 1-2

therefore, sin = -1

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