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ત્રિકોણમિતિ

∆ABCમાં, B કાટકોણ હોય, BC = 7 અને AC - AB = 1, તો sin C તથા cos C શોધો.

જો cot θ = $bold a over bold b$ , તો $fraction numerator bold cos bold space bold theta bold space bold minus bold space bold sin bold space bold theta over denominator bold cos bold space bold theta bold space bold minus bold space bold sin bold space bold theta end fraction$ નું મૂલ્ય શોધો.

cot θ = $bold a over bold b$ આપેલ છે.

$fraction numerator bold cos bold space bold theta bold space bold minus bold space bold sin bold space bold theta bold space over denominator bold cos bold space bold theta bold space bold plus bold space bold sin bold space bold theta end fraction bold space bold equals bold space fraction numerator begin display style fraction numerator bold c bold o bold s bold space bold theta over denominator bold s bold i bold n bold space bold theta end fraction end style bold space bold minus bold space bold 1 over denominator begin display style fraction numerator bold c bold o bold s bold space bold theta over denominator bold s bold i bold n bold space bold theta end fraction end style bold plus bold space bold 1 end fraction bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold left parenthesis bold space bold because bold અ ં શ bold space bold અન ે bold space bold છ ે દન ે bold space bold italic s bold italic i bold italic n bold space bold italic theta bold space bold # bold space bold 0 bold space bold વડ ે bold space bold ભ ા ગત ાંં bold space bold right parenthesis bold equals bold space fraction numerator bold c bold o bold t bold space bold theta bold space bold minus bold space bold 1 over denominator bold c bold o bold t bold space bold theta bold space bold plus bold space bold 1 end fraction bold equals fraction numerator begin display style bold a over bold b end style bold minus bold 1 over denominator begin display style bold a over bold b end style bold space bold plus bold space bold 1 end fraction bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold left parenthesis bold because bold space bold italic c bold italic o bold italic t bold space bold italic theta bold space bold equals bold space bold a over bold b bold space bold મ ૂ કત ાં bold right parenthesis bold equals bold space fraction numerator bold a bold space bold minus bold space bold b over denominator bold a bold space bold plus bold space bold b end fraction$

∆ABCમાં AC = 5, BC = 13, m∠A = 90, તો ∠Bના તમામ ત્રિકોણમિતીઉઅ ગુણોત્તર મેળવો.

∆ABCમાં m∠C = 90 અને ten A = $fraction numerator bold 1 over denominator square root of bold 3 end fraction$ , તો sin A અને cos B શોધો.

જો cosec A = $square root of bold 10$ હોય, તો બાકીના પાંચ ત્રિકોણમિતીય ગુણોત્તર શોધો.

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ત્રિકોણમિતિ

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