Question

Please solve these questions

Explanation is also needed​

Answer 1

Answer:

Step-by-step explanation:

1. tant+sint=m---(1)

tant-sint=n--(2)

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mn=(tan^2t-sin^2t)=sin^2t/cos^2t-sin^2t)

=sin^2t(1-cos^2t)/cos^2t=tan^2tsin^2t

mn=(tantsint)^2

tantsint=sqrt(mn)

m+n=2tant

m-n=2sint

(m+n)(m-n)=2sinttant

m^2-n^2=2sqrt(mn)

2. mn=(tan^2t-sin^2t)=sin^2t/cos^2t-sin^2t)

=sin^2t(1-cos^2t)/cos^2t=tan^2tsin^2t

mn=(tantsint)^2

tantsint=sqrt(mn)

3. m^2=sin^2t+tan^2t+2sinttant

   n^2=sin^2t+tan^2t-2sinttant

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m^2+n^2=2(sin^2t+tan^2t)

mutliply with 2 on both sides

2(m^2+n^2)=4(sin^2t+cos^2t)