giải các pt sau:
a,\(4sin^23x+2\left(\sqrt{3}+1\right)cos3x-\sqrt{3}=4\)
b, \(cos2x+9cosx+5=0\)
c,\(4cos^2\left(2-6x\right)+16cos^2\left(1-3x\right)=13\)
d, \(\frac{1}{cos^2x}-\left(1+\sqrt{3}\right)tanx-1+\sqrt{3}=0\)
e, \(\frac{3}{cosx}+tan^2x=9\)
f, \(\frac{1}{sin^2x}=cotx+3\)
g,\(9-13cosx+\frac{4}{1+tan^2x}=0\)
h,\(\frac{1}{cos^2x}+3cot^2x=5\)
i, \(cos2x-3cosx=4cos^2\frac{x}{2}\)
k, \(2cos2x+tanx=1\)
giải các pt
a) \(5\left(1+cosx\right)=2+sin^4x-cos^4x\)
b) \(\sqrt{3}tanx+cotx-\sqrt{3}-1=0\)
c) \(6sin^2x+2sin^22x=5\)
d) \(cos^22x+cos^2\left(x-\frac{\pi}{4}\right)-1=0\)
e) \(\left(1+tan^2x\right)\left(9-13cosx\right)+4=0\)
giải các pt
a) \(4sin^3x+3\sqrt{2}sin2x=8sinx\)
b) \(7cosx=4cos^3x+4sin2x\)
c) \(tanx+cotx=5-\frac{3}{sin^22x}\)
d) \(5\left(1+cosx\right)=2+sin^4x-cos^4x\)
e) \(2\left(cos^2x+cos^22x+cos^23x\right)=3\left(1+cosx.cos4x\right)\)
Câu 1: Giải các phương trình sau:
a, \(\left(sin\frac{x}{2}+cos\frac{x}{2}\right)^2\)+\(\sqrt{3}cosx=2\)
b, \(\frac{\left(1-2sinx\right).cosx}{\left(1+2sinx\right)\left(1-sinx\right)}=\sqrt{3}\)
c, 5sinx-2=3(1-sinx).tan2x
d, \(\frac{2\left(sin^6x+cos^6\right)}{\sqrt{2}-2sinx}=0\)
e, cos23x.cos2x-cos2x=0
Câu 2: giải các phương trình sau:
a, sinx+cosx.sin2x+\(\sqrt{3}cos3x=2\left(cos4x+sin^3x\right)\)
b, \(\frac{\left(2-\sqrt{3}\right).cosx-2sin2\left(\frac{x}{2}-\frac{\pi}{4}\right)}{2cosx-1}\)
c, 8sin22x.cos2x=\(\sqrt{3}sin2x+cos2x\)
d, sin3x- \(\sqrt{3}cos^3x=sinxcos^2x-\sqrt{3}sin^2xcosx\)
Giải các phương trình lượng giác sau:
1) a/ \(cos\left(10x+12\right)+4\sqrt{2}sin\left(5x+6\right)-4=0\)
b/ \(cos\left(4x+2\right)+3sin\left(2x+1\right)=2\)
2) a/ \(cos2x+sin^2x+2cosx+1=0\)
b/ \(4sin^22x-8cos^2x+ 3=0\)
c/ \(4cos2x+4sin^2x+4sinx=1\)
3) a/ \(tanx+cotx=2\)
b/ \(2tanx-2cotx=3\)
4) a/ \(2sin2x+8tanx=9\sqrt{3}\)
b/ \(2cos2x+tan^2x=5\)
5) a/ \(\left(3+cotx\right)^2=5\left(3+cotx\right)\)
b/ \(4\left(sin^2x+\dfrac{1}{sin^2x}\right)-4\left(sinx+\dfrac{1}{sinx}\right)=7\)
giải phương trình:
1) \(2\sqrt{2}cos^3x\left(x-\frac{\pi}{4}\right)-3cosx-sinx=0\)
2) \(tanx.sin^2x-2sin^2x=3\left(cos2x+sinxcosx\right)\)
3) \(2sin^3x=cosx\)
4) \(6sinx-2cos^3x=\frac{5sin4xcosx}{2cos2x}\)
Giải các phương trình sau :
a) \(3sin^2x-4sinxcosx+5cos^2x=2\)
b) \(25sin^2x+15sin2x+9cos^2=25\)
c) sinx + cosx =1
d) 3cos2x - 4sin2x =1
f) \(4sin^2x-6cos^2x=0\)
g) \(5sin2x-6cos^2x=13\)
h) \(sinx=\sqrt{3}cosx\)
i) \(sin^4x+cos^4\left(x+\frac{\pi}{4}\right)=\frac{1}{4}\)
j)\(tanx+2cotx-3=0\)
k) \(tan^25x=\frac{1}{3}\)
m) \(sin^4x-cos^4x=cosx-2\)
giải các phương trình sau: ( pt bậc nhất đối với sinx và cosx)
a, \(sinx+cosx=\sqrt{2}sin5x\)
b, \(\sqrt{3}sin2x+sin\left(\frac{\pi}{2}+2x\right)=1\)
c, \(\left(\sqrt{3}-1\right)sinx+\left(\sqrt{3}+1\right)cosx+\sqrt{3}-1=0\)
d, \(3sin^2x+\sqrt{3}sin2x=3\)
e, \(sin8x-cos6x=\sqrt{3}\left(sin6x+cos8x\right)\)
f,\(8cos2x=\frac{\sqrt{3}}{sinx}+\frac{1}{cosx}\)
g, \(cosx-\sqrt{3}sinx=2cos\left(\frac{\pi}{3}-x\right)\)
h, \(sin5x-cos5x=\sqrt{2}cos13x\)
i, \(\left(3cosx-4sinx+6\right)^2-9cosx+12sinx-16=0\)
\(\dfrac{\sqrt{2}\left(sinx-cox\right)^2\left(1+2sin2x\right)}{sin3x+sin5x}=1-tanx\)
\(sin\left(2x-\dfrac{\pi}{4}\right)cos2x-2\sqrt{2}sin\left(x-\dfrac{\pi}{4}\right)=0\)
(sin2x+cos2x)cosx+2cos2x -sinx=0
sinx + cosxsin2x + \(\sqrt{3}cos3x=2\left(cos4x+sin^3x\right)\)
\(\sqrt{3}cos5x-2sin3xcos2x-sinx=0\)
Giải pt
a, \(sin\left(3x+\frac{\pi}{3}\right)+sin\left(\frac{4\pi}{5}-3x\right)=\sqrt{3}\)
b, \(2tanx.cosx+1=2cosx+tanx\)
c, \(tanx+tan2x=tan3x\)
d, cos2x + sin2x = \(\frac{\sqrt{6}}{2}\)
e, \(2tan^2x+3=\frac{3}{cosx}\)
f. \(sin^24x+sin^23x=sin^22x+sin^2x\)
thanks youuuuu mấy bài này khó quá mình suy nghĩ mãi hong ra cảm ơn trước nhaa
