if a coso+b sino=4 and a sino-b coso=3,then a^2+b^2 is​

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if a coso+b sino=4 and a sino-b coso=3,then a^2+b^2 is​

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Isabelle 1 month 2021-08-20T16:50:11+00:00 1 Answer 0 views 0

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    2021-08-20T16:51:30+00:00

    . ( quad a cos theta+b sin theta=-3 rightarrow 0 ) Nquaing [ a^{2} cos theta+b^{2} sin 2 theta+2 a b cdot sin theta cdot cos theta=9 ] ( a sin theta+b cos theta=4 quad longrightarrow(2 ) Daving, ( a^{2} cos 2 theta+b^{2} cos 1 theta-2 a b sin theta cdot cos theta=frac{16}{-} ) (1) Adding (3) ( operatorname{and}(4), quadleft[cos ^{2} theta+sin ^{2} theta=1right] ) [ Rightarrow quad a^{2}+b^{2}=9+16=25 ]

    answer is 25

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