plz answer them as fast as possible but with each step

Asked by defence | 27th Apr, 2019, 08:55: PM

Expert Answer:

begin mathsize 16px style fraction numerator cosec left parenthesis 90 degree plus straight theta right parenthesis plus cot open parentheses 450 degree plus straight theta close parentheses over denominator cosec left parenthesis 90 degree plus straight theta right parenthesis plus tan open parentheses 180 degree minus straight theta close parentheses end fraction plus fraction numerator tan begin display style open parentheses 180 degree plus straight theta close parentheses end style begin display style plus end style begin display style sec end style begin display style open parentheses 180 degree minus straight theta close parentheses end style over denominator tan begin display style open parentheses 360 degree plus straight theta close parentheses end style begin display style minus end style begin display style sec end style begin display style open parentheses negative straight theta close parentheses end style end fraction
equals fraction numerator begin display style secθ plus tanθ end style over denominator begin display style sec straight theta plus tan straight theta end style end fraction plus fraction numerator begin display style tan straight theta minus sec straight theta end style over denominator tan straight theta begin display style minus end style begin display style sec end style begin display style straight theta end style end fraction
equals fraction numerator tan squared straight theta minus sec squared straight theta plus tan squared straight theta minus sec squared straight theta over denominator tan squared straight theta minus sec squared straight theta end fraction
equals fraction numerator negative 2 open parentheses sec squared straight theta minus tan squared straight theta close parentheses over denominator negative open parentheses sec squared straight theta minus tan squared straight theta close parentheses end fraction
equals 2 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space because sec squared straight theta minus tan squared straight theta equals 1
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Answered by Sneha shidid | 29th Apr, 2019, 09:29: AM