ТРИГОНОМЕТРИЯ. cos x = b, sin x = b. Created by mashuttta. algebra-ru

1) 4x=±π/6+πn, n∈Z.Ответ: x=±π/24+πn/4, n∈Z.2) x/5=±π/6+πn, n∈Z.Ответ: x=±5π/6+5πn, n∈Z.3) Ответ: x=±arcsin(√15/6)+πn, n∈Z.

ТРИГОНОМЕТРИЯ. cos x = b, sin x = b...

mashuttta @mashuttta

July 2022 1 41 Report

ТРИГОНОМЕТРИЯ. cos x = b, sin x = b

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1) $\sin^2{4x}=\frac{1}{4};|\sin{4x}|=\frac{1}{2}\\\sin{4x}=б\frac{1}{2}$

4x=±π/6+πn, n∈Z.

Ответ: x=±π/24+πn/4, n∈Z.

2) $\cos^2{\frac{x}{5} }=\frac{3}{4} ;\cos{\frac{x}{5} }=б\frac{\sqrt{3} }{2}$

x/5=±π/6+πn, n∈Z.

Ответ: x=±5π/6+5πn, n∈Z.

3) $12\sin^2{x}-5=0;\sin{x}=б\sqrt{\frac{5}{12}}=б\frac{\sqrt{15} }{6}$

Ответ: x=±arcsin(√15/6)+πn, n∈Z.

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