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geramendiev
@geramendiev
July 2022
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СРОЧНО ПОМОГИТЕ! Упростите: tg2a/tg4a-tg2a
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sedinalana
Tg4a-tg2a=2tg2a/(1-tg²2a)-tg2a=(2tg2a-tg2a+tg³2a)/(1-tg²2a)=
=(tg2a+tg³2a)/(1-tg²2a)=tg2a(1+tg²2a)/(1-tg²2a)=
=tg2a*(1+sin²2a/cos²2a):(1-sin²2x/cos²2a)=
=tg2a*(sin²2a+cos²2a)/cos²2a:(cos²2a-sin²2a)/cos²2a=tg2a/cos4a
tg2a:tg2a/cos4a=tg2a*cos4a/tg2a=cos4a
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Answers & Comments
=(tg2a+tg³2a)/(1-tg²2a)=tg2a(1+tg²2a)/(1-tg²2a)=
=tg2a*(1+sin²2a/cos²2a):(1-sin²2x/cos²2a)=
=tg2a*(sin²2a+cos²2a)/cos²2a:(cos²2a-sin²2a)/cos²2a=tg2a/cos4a
tg2a:tg2a/cos4a=tg2a*cos4a/tg2a=cos4a