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त्रिकोणमिति का परिचय

Question
CBSEHHIMAH10010242

सही विकल्प चुनिए और अपने विकल्प की पुष्टि कीजिए:
(sec A + tan A) (1 - sin A) बराबर है:



  • sec A

  • sin A

  • cosec A

  • cos A

Solution

D.

cos A

space left parenthesis sec space straight A plus space tan space straight A right parenthesis space left parenthesis 1 minus sinA right parenthesis
space space space space space space space space space space space space space space space space space equals space open parentheses 1 over cosA plus sinA over cosA close parentheses space left parenthesis 1 minus sinA right parenthesis
space space space space space space space space space space space space space space space space space equals space fraction numerator left parenthesis 1 plus sinA right parenthesis space over denominator cos space straight A end fraction left parenthesis 1 minus sinA right parenthesis
space space space space space space space space space space space space space space space space space space equals space fraction numerator 1 minus sin squared straight A over denominator cosA end fraction space equals space fraction numerator cos squared straight A over denominator cos space straight A end fraction equals space cosA
अत: विकल्प (D) सही हैं।

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