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The value of 1/(1 – cot2 α) + 1/(1 – tan2 α) is equal to
  • a)
    -1/2
  • b)
    -1
  • c)
    1
  • d)
    1/2
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The value of 1/(1 – cot2α) + 1/(1 – tan2α) is ...
cotα = cosα/sinα, tanα = sinα/cosα
1/(1 – cot2 α) + 1/(1 – tan2 α) = [sin2 α/(sin2 α – cos2 α)] + [cos2 α/(cos2 α - sin2 α)]
= [sin2 α/(sin2 α – cos2 α)] - [cos2 α/(sin2 α – cos2 α)] = 1
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Most Upvoted Answer
The value of 1/(1 – cot2α) + 1/(1 – tan2α) is ...
cotα = cosα/sinα, tanα = sinα/cosα
1/(1 – cot2 α) + 1/(1 – tan2 α) = [sin2 α/(sin2 α – cos2 α)] + [cos2 α/(cos2 α - sin2 α)]
= [sin2 α/(sin2 α – cos2 α)] - [cos2 α/(sin2 α – cos2 α)] = 1
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The value of 1/(1 – cot2α) + 1/(1 – tan2α) is equal toa)-1/2b)-1c)1d)1/2Correct answer is option 'C'. Can you explain this answer?
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