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CBSE Class 10 Answered

Prove that 1-tan²A/1+tan²A=cos²A-sin²A  
Asked by shivengrover12 | 16 Jun, 2019, 10:28: AM
answered-by-expert Expert Answer
begin mathsize 16px style fraction numerator 1 minus tan squared straight A over denominator 1 plus tan squared straight A end fraction
equals fraction numerator begin display style 1 minus fraction numerator begin display style sin squared straight A end style over denominator begin display style cos squared end style begin display style straight A end style end fraction end style over denominator begin display style 1 plus fraction numerator begin display style sin squared straight A end style over denominator begin display style cos squared straight A end style end fraction end style end fraction
equals fraction numerator cos squared straight A minus sin squared straight A over denominator cos squared straight A plus sin squared straight A end fraction
equals cos squared straight A minus sin squared straight A space space space space space space space space space space space space space because cos squared straight A plus sin squared straight A equals 1 end style
Answered by Sneha shidid | 16 Jun, 2019, 01:41: PM
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