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1+tan²A /1+cot²A=sec²-1 prove

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1+tan²A /1+cot²A=sec²-1 prove

    • Posted by 👿 B Basava 😈 9 months, 1 week ago

    CBSE > Class 10 > Mathematics
    • 2 answers

    Shuhbham Mahakud 9 months ago

    TO PROVE:-(1+tan²A)/(1+cot²A) = sec²A-1 =>(1+tan²A)/(1+1/tan²A){ we know that cot²A = 1/tan²A } =>(1+ tan²A)/ {(tan²A + 1)/tan²A} =>{(tan²A)(1+ tan²A)}/ (tan²A+ 1) => tan²A => sec²A-1 { from the identity sec²A-tan²A = 1}

    0Thank You

    Shagun Sehra 9 months, 1 week ago

    TO PROVE:-(1+tan²A)/(1+cot²A) = sec²A-1 =>(1+tan²A)/(1+1/tan²A){ we know that cot²A = 1/tan²A } =>(1+ tan²A)/ {(tan²A + 1)/tan²A} =>{(tan²A)(1+ tan²A)}/ (tan²A+ 1) => tan²A => sec²A-1 { from the identity sec²A-tan²A = 1}

    1Thank You

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