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JaOw
@JaOw
August 2022
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√3-tgx=tg(4Π/3-x)
помогите решить, пожалуйста.
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sedinalana
√3-tgx=(tg4π/3-tgx)/(1+tg4π/3*tgx)
√3-tgx=(√3-tgx)/(1+√3tgx)
(√3-tgx)*(1+√3tgx)=√3-tgx,tgx≠-1/√3
(√3-tgx)(1+√3tgx)-(√3-tgx)=0
(√3-tgx)(1+√3tgx-1)=0
√3-tgx=0⇒tgx=√3⇒x=π/3+πk,k∈z
√3tgx=0⇒tgx=0⇒x=πk,k∈z
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JaOw
Спасибо большое!!!
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Answers & Comments
√3-tgx=(√3-tgx)/(1+√3tgx)
(√3-tgx)*(1+√3tgx)=√3-tgx,tgx≠-1/√3
(√3-tgx)(1+√3tgx)-(√3-tgx)=0
(√3-tgx)(1+√3tgx-1)=0
√3-tgx=0⇒tgx=√3⇒x=π/3+πk,k∈z
√3tgx=0⇒tgx=0⇒x=πk,k∈z