Question

Đã trả lời bởi chuyên gia

Answer 1

b) sinx = $\frac{1}{2}$

$\sin x = \sin \frac{π}{6}$

$x = \frac{π}{6} + k 2 π$ hoặc $x = π - \frac{π}{6} + k 2 π$

$x = \frac{π}{6} + k 2 π$ hoặc $x = \frac{5 π}{6} + k 2 π$

c) $\sin x = \frac{- \sqrt{2}}{2}$

$\sin x = \sin (- \frac{π}{4})$

$x = \frac{- π}{4} + k 2 π$ hoặc $x = \frac{4 π}{4} + k 2 π$

d) $\sin 3 x = \frac{\sqrt{3}}{2}$

$\sin x = \sin (\frac{π}{3})$

$x = \frac{π}{3} + k 2 π$ hoặc $x = \frac{2 π}{3} + k 2 π$

e) $\sin 2 x = \sin (40 ° - x)$

TH1: $2 x = 40 ° - x + k 2 π$

3x = $\frac{2 π}{9} + k 2 π$

x = $\frac{2 π}{27} + \frac{k 2 π}{3}$

TH2: $2 x = π - 40 ° - x + k 2 π$

$3 x = π - \frac{2 π}{9} + k 2 π$

$3 x = \frac{7 π}{9} + k 2 π$

$x = \frac{7 π}{27} + \frac{k 2 π}{3}$

f) $\sin (6 x) = \sin (\frac{π}{2} - 2 x)$

TH1: $6 x = \frac{π}{2} - 2 x + k 2 π$

$8 x = \frac{π}{2} + k 2 π$

$x = \frac{π}{16} + \frac{k π}{4}$

TH2: $6 x = π - \frac{π}{2} + 2 x + k 2 π$

$4 x = \frac{π}{2} + k 2 π$

$x = \frac{π}{8} + \frac{k π}{2}$

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Answer 2

b) sinx = $\frac{1}{2}$

$\sin x = \sin \frac{π}{6}$

$x = \frac{π}{6} + k 2 π$ hoặc $x = π - \frac{π}{6} + k 2 π$

$x = \frac{π}{6} + k 2 π$ hoặc $x = \frac{5 π}{6} + k 2 π$

c) $\sin x = \frac{- \sqrt{2}}{2}$

$\sin x = \sin (- \frac{π}{4})$

$x = \frac{- π}{4} + k 2 π$ hoặc $x = \frac{4 π}{4} + k 2 π$

d) $\sin 3 x = \frac{\sqrt{3}}{2}$

$\sin x = \sin (\frac{π}{3})$

$x = \frac{π}{3} + k 2 π$ hoặc $x = \frac{2 π}{3} + k 2 π$

e) $\sin 2 x = \sin (40 ° - x)$

TH1: $2 x = 40 ° - x + k 2 π$

3x = $\frac{2 π}{9} + k 2 π$

x = $\frac{2 π}{27} + \frac{k 2 π}{3}$

TH2: $2 x = π - 40 ° - x + k 2 π$

$3 x = π - \frac{2 π}{9} + k 2 π$

$3 x = \frac{7 π}{9} + k 2 π$

$x = \frac{7 π}{27} + \frac{k 2 π}{3}$

f) $\sin (6 x) = \sin (\frac{π}{2} - 2 x)$

TH1: $6 x = \frac{π}{2} - 2 x + k 2 π$

$8 x = \frac{π}{2} + k 2 π$

$x = \frac{π}{16} + \frac{k π}{4}$

TH2: $6 x = π - \frac{π}{2} + 2 x + k 2 π$

$4 x = \frac{π}{2} + k 2 π$

$x = \frac{π}{8} + \frac{k π}{2}$

Answer 3

b) sinx =

hoặc

c)

hoặc

d)

hoặc

e)

TH1:

3x =

x =

TH2:

f)

TH1:

TH2:

3 câu trả lời 202

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