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त्रिकोणमिति का परिचय

Question

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त्रिकोणमितीय अनुपातों को sinA, secA और tanA को cotA के पदों में व्यक्त कीजिए।

Solution

cot squared straight A space plus space 1 space equals cosec squared straight A

rightwards double arrow

cosecA space equals space plus-or-minus square root of cot squared straight A plus 1 end root

space cosecA space equals space square root of cot squared straight A plus 1 end root

अत:

sinA space equals space 1 over cosecA equals fraction numerator 1 over denominator square root of cot squared straight A plus 1 end root end fraction

secA space equals space 1 over cosA space equals space cosecA over cotA

equals space fraction numerator square root of cot squared straight A plus 1 end root over denominator cotA end fraction

और

tanA space equals space 1 over cotA

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