a) \(2sin\left(x+\dfrac{\pi}{3}\right)+1=0\)

b) \(1+2sin\left(x-30^o\right)=0\)

c) \(\sqrt{3}+2sin\left(x-\dfrac{\pi}{6}\right)=0\)

d) \(2sin\left(x+10^o\right)+\sqrt{3}=0\)

e) \(\sqrt{2}+2sin\left(x-15^o\right)=0\)

f) \(\sqrt{2}sin\left(x-\dfrac{\pi}{3}\right)+1=0\)

g) \(3+\sqrt{5}sin\left(x+\dfrac{\pi}{3}\right)=0\)

h) \(1+sin\left(x-30^o\right)=0\)

i) \(3+\sqrt{5}sin\left(x-\dfrac{\pi}{6}\right)=0\)

k) \(2\sqrt{2}sin^2x-sin2x=0\)

bài 1: a) \(sin\left(2x+\dfrac{\pi}{6}\right)+sin\left(x-\dfrac{\pi}{3}\right)=0\)

b) \(sin\left(2x-\dfrac{\pi}{3}\right)-cos\left(x+\dfrac{\pi}{3}\right)=0\)

c) \(sin\left(2x+\dfrac{\pi}{3}\right)+cos\left(x-\dfrac{\pi}{6}\right)=0\)

Tìm giá trị lớn nhất, giá trị nhỏ nhất:

a) \(y=3-\dfrac{4}{3+2sinx}\)

b) \(y=\dfrac{2}{5-4cosx}\)

c) \(y=2cos^2x-1\)

d) \(y=3-4sin^22x\)

e) \(y=\sqrt{3-2sinx}\)

f) \(y=\dfrac{5}{\sqrt{5-4sinx}}\)

g) \(y=\dfrac{4}{4-\sqrt{5+4cosx}}\)

h) \(y=sinx-cosx-2\)

i) \(y=\sqrt{3}cosx-sinx+3\)

j) \(y=4cos^2x-4cosx+5\)

Tìm tập xác định của các hàm số sau:

1) a) y=tanx+3

b) y=3-4cotx

c) y=tan2x+1

d) y=4-5cot3x

e) \(y=tan\left(x+\dfrac{\pi}{3}\right)\)-3

f) \(y=4-2cot\left(x-\dfrac{\pi}{6}\right)\)

2) a) y=3sinx-4cosx+5

b) y=3cos2x-4sin2x+1

c) \(y=\dfrac{3}{1-cosx}+5\)

d) \(\dfrac{1}{1+cosx}+2\)

e) \(y=\dfrac{sinx+2}{cosx+3}\)

f) \(y=1-\dfrac{2}{sinx-1}\)

g) \(y=2x+\dfrac{3}{1+sinx}\)

h) \(y=x^2-x+\dfrac{1}{sin^2x-sinx}\)

j) y=2tanx-3cotx+5

h) \(y=\sqrt{\dfrac{1-sin^2x}{1+cos^2x}}\)

Bài 1: a) Cho cotx=3. Tìm:

\(B=\dfrac{2sin^2x+3sinx.cosx}{1-2cos^2x}\)

b) Cho tanx=-3; \(\dfrac{3\pi}{2}< x< 2\pi\)

Tìm: A=\(\sqrt{10}cosx-2sinx+3\)