If tan θ=34find the value of 1−cos θ1+cos θ

If tan θ=34find the value of 1−cos θ1+cos θ
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If tan θ=34,find the value of 1−cos θ1+cos θ

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SOLUTION

g i v e n space space space space space space space space space space space space tan theta equals 3 over 4 tan squared theta plus 1 equals s e c squared theta s e c squared theta equals 1 plus open parentheses 3 over 4 close parentheses squared space space space space space space space space space space space equals 1 plus 9 over 16 equals 25 over 16 s e c theta equals 5 over 4 cos theta equals 4 over 5 w e space h a v e space t o space f i n d space space space fraction numerator 1 minus cos theta over denominator 1 plus cos theta end fraction equals fraction numerator 1 minus left parenthesis begin display style 4 over 5 end style right parenthesis over denominator 1 plus left parenthesis begin display style 4 over 5 end style right parenthesis end fraction space space space space space space space space space space space space space space space space space space space space equals 1 over 9

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