\(\frac{\left(sin^2x\right)^2-\left(cos^2x\right)^2}{2sinxcosx}\)=\(\frac{\left(sin^2x+cos^2x\right).\left(sin^2x-cos^2x\right)}{2sinxcosx}\)=\(\frac{1.\left(sin^2x-cos^2x\right)}{2sinxcosx}\)=\(\frac{sin^2x-cos^2x}{sin2x}\)=\(\frac{\frac{1-cos2x}{2}-\frac{1+cos2x}{2}}{sin2x}\)=\(\frac{1-1-cos2x-cos2x}{2}.\frac{1}{sin2x}\)=\(\frac{-2cos2x}{2sin2x}=\frac{-cos2x}{sin2x}=-cot2x\left(đpcm\right)\)

đề nào bn?

(x+1/1*3)+(x+1/3*5)+....+(x+1/97*99)=50

Cho mk xem đề ik

giúp mik nha T.T

1:

1: \(=3\sqrt{3}-12\sqrt{3}+10\sqrt{3}=\sqrt{3}\)

2: \(=6\sqrt{2}+10\sqrt{2}-35\sqrt{2}=-19\sqrt{2}\)

3: \(=4\sqrt{2a}+15\sqrt{2a}-5\sqrt{2a}=14\sqrt{2a}\)

4: \(=7\sqrt{a}-8\sqrt{a}+5\sqrt{a}=4\sqrt{a}\)

5: \(=\sqrt{a}\cdot\dfrac{\sqrt{2}}{2}-\sqrt{a}\cdot\dfrac{\sqrt{3}}{3}+3\sqrt{3}\cdot\sqrt{a}-2\sqrt{2}\cdot\sqrt{a}\)

\(=\sqrt{a}\cdot\left(-\dfrac{3}{2}\sqrt{2}+\dfrac{8\sqrt{3}}{3}\right)\)

Đề đây ạ. Giúp mình hộ .mình cảm ơn