Ответ: (tg0,6)*(tg3 ) .
Объяснение:
* * * tg(α+β) =(tgα+tgβ) /(1 - tgα+tgβ) ; tg(α-β) =(tgα-tgβ)/(1 + tgα+tgβ) * * *
( tg²1.8 - tg²1.2 ) / ( 1 - tg²1.8 *tg²1.2 ) = ( tg²1.8 - tg²1.2 ) / ( 1 - (tg1.8 *tg1.2)² ) =
( tg1.8 - tg1.2 ) ( tg1.8 + tg1.2 ) / ( 1 +tg1.8 *tg1.2 )(1 - tg1.8* tg1.2) =
( ( tg1.8 - tg1.2 ) / ( 1 +tg1.8 *tg1.2 ) ) *( ( tg1.8 + tg1.2 ) / ( 1 - tg1.8 *tg1.2 ) ) =
= tg(1.8 - 1.2 ) * tg(1.8 + 1.2 ) =(tg0,6)*(tg3 ) .
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Ответ: (tg0,6)*(tg3 ) .
Объяснение:
* * * tg(α+β) =(tgα+tgβ) /(1 - tgα+tgβ) ; tg(α-β) =(tgα-tgβ)/(1 + tgα+tgβ) * * *
( tg²1.8 - tg²1.2 ) / ( 1 - tg²1.8 *tg²1.2 ) = ( tg²1.8 - tg²1.2 ) / ( 1 - (tg1.8 *tg1.2)² ) =
( tg1.8 - tg1.2 ) ( tg1.8 + tg1.2 ) / ( 1 +tg1.8 *tg1.2 )(1 - tg1.8* tg1.2) =
( ( tg1.8 - tg1.2 ) / ( 1 +tg1.8 *tg1.2 ) ) *( ( tg1.8 + tg1.2 ) / ( 1 - tg1.8 *tg1.2 ) ) =
= tg(1.8 - 1.2 ) * tg(1.8 + 1.2 ) =(tg0,6)*(tg3 ) .