त्रिकोणमिति का परिचय

Question

निम्नलिखित सर्वसमिकाएँ सिद्ध कीजिए, जहाँ वे कोण, जिनके लिए व्यंजक परिभाषित हैं, न्यून कोण है:
सर्वसमिका $cosec squared straight A space equals space 1 plus cot squared straight A$ को लागू करके
$fraction numerator cosA minus sinA plus 1 over denominator cosA plus sinA minus 1 end fraction equals cosecA plus cotA$

Solution

$straight L. straight H. straight S space equals space fraction numerator begin display style fraction numerator cos space straight A minus sin space straight A plus 1 over denominator sin space straight A end fraction end style over denominator begin display style fraction numerator cos space straight A space plus space sin space straight A space minus 1 over denominator sin space straight A end fraction end style end fraction space equals space fraction numerator cot space straight A space minus 1 plus cosec space straight A over denominator cot space straight A plus 1 minus cosec space straight A end fraction equals space fraction numerator left parenthesis cot space straight A plus cosec space straight A right parenthesis plus left parenthesis cot squared straight A minus cosec squared straight theta right parenthesis over denominator left parenthesis cotA minus cosecA plus 1 right parenthesis end fraction equals space fraction numerator left parenthesis cot space straight A space plus space cosec space straight A right parenthesis thin space left parenthesis cot space straight A space minus cosec space straight A space minus 1 right parenthesis over denominator left parenthesis cot space straight A minus cosec space straight A space plus 1 right parenthesis end fraction equals space cosecA plus cotA equals space straight R. straight H. straight S.$
अत: L.H.S. = R.H.S.

For Daily Free Study Material Join wiredfaculty

त्रिकोणमिति का परिचय

Some More Questions From त्रिकोणमिति का परिचय Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Phone Number

Email Address

Loaction