Rút gọn các biểu thức sau:
Rút gọn biểu thức lược giác sau
N= cos(1710ox) -2sin(x-2250o) + cos(x+90o) + 2sin(720o) + cos(540o-x)
Rút gọn
A = \(\frac{cot+tan}{cot-tan}\) khi sin =\(\frac{3}{5}\),0<a<\(\frac{\pi}{2}\)
Rút gọn:
P= \(\frac{sin^3a-cos^3a}{sina-cosa}\)
Q= \(\frac{sin^3x+cos^3x}{sinx+cosx}\)
Rút gọn
\(A=\left(\frac{1}{cos2x}+1\right).tanx\)
\(B=\frac{1+sin4a-cos4a}{1+sin4a+cos4a}\)
\(C=\frac{sin2a+sina}{1+cos2a+cosa}\)
Rút gọn biểu thức sau:
\(A=sin\left(\frac{\pi}{2}-x\right)+3cos\left(x-\pi\right)-2sin\left(x+\frac{\pi}{2}\right)-5cos\left(7\pi-x\right)\)
Các bạn rút gọn hộ mình với ạ
\(B=\frac{\sin\left(-4,8\pi\right)\sin\left(-5,7\pi\right)}{\cot\left(-5,2\pi\right)}+\frac{\cos\left(-6,7\pi\right)\cos\left(-5,8\pi\right)}{\tan\left(-6,2\pi\right)}\)
Rút gọn các biểu thức sau :
a) A= 3sin(11\(\pi\) -x) sin(\(\frac{5\pi}{2}-x\)) +2sin(9\(\pi\)+x)
b) B=sin(1980\(^o\)+x)-cos(90\(^o\) -x)+tan(\(270^o-x\)) +cot (360\(^o\) -x)
c) C=-2sin(\(\frac{-5\pi}{2}\)+x)-3cos(3\(\pi\)-x)+5sin(\(\frac{7\pi}{2}\)-x)+cot(\(\frac{3\pi}{2}\)-x)
d) D=tan(x-\(\pi\)) cos (x-\(\frac{\pi}{2}\))cos(x+\(\pi\))
e) E=cos(\(\frac{115\pi}{2}-x\))+sin(\(x-\frac{235\pi}{2}\))+cos(x-\(\frac{187\pi}{2}\))+sin(\(\frac{143\pi}{2}-x\))
f) F= cot(x-\(107\pi\)) cos(x-\(\frac{303\pi}{2}\))+cos(x+1008\(\pi\))-3sin(x-1019\(\pi\))
g) G=cot(19\(\pi\)-x)+cos(x-37\(\pi\))+sin(\(-\frac{31\pi}{2}-x\))+tan(x-\(\frac{47\pi}{2}\))
h) H=cos(1170\(^o\)+x)+2sin(x-540\(^o\))-tan(630\(^o\)+x) cot(810\(^o\)-x)
i) I=\(\frac{sin\left(\pi-x\right)cos\left(x-\frac{9\pi}{2}\right)tan\left(9\pi+x\right)}{cos\left(7\pi-x\right)sin\left(\frac{7\pi}{2}-x\right)cot\left(x-\frac{17\pi}{2}\right)}\)
Rút gọn biểu thức: A = 1 + sin2b + cos2b