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a: \(=\dfrac{\sqrt{2}}{2}+\dfrac{\sqrt{3}}{3}\cdot\dfrac{\sqrt{3}}{2}=\dfrac{\sqrt{2}}{2}+\dfrac{3}{6}=\dfrac{\sqrt{2}+1}{2}\)
b: \(=\tan46^0\cdot\cot46^0\cdot1=1\)
c: \(=\dfrac{3\cdot\dfrac{\sqrt{3}}{2}}{2\cdot\dfrac{3}{4}-1}=\dfrac{3\sqrt{3}}{2}:\dfrac{1}{2}=3\sqrt{3}\)
đáp án
A=Sin 42o - cos 48o =cos(90o - 42o) - cos 48o= cos48o - cos48o=0
hok tốt
B=cos56o-tan34o=tan(90o - 56o) - tan34o=tan34o - tan34o=0
\(A=sin42^0-cos48^0=cos\left(90^0-42^0\right)-cos48^0=cos48^0-cos48^0=0\)
\(B=cot56^0-tan34^0=tan\left(90^0-56^0\right)-tan34^0=tan34^0-tan34^0=0\)
\(C=sin30^0-cot50^0-cos60^0+tan40^0\)
\(=cos\left(90^0-30^0\right)-tan\left(90^0-50^0\right)-cos60^0+tan40^0\)
\(=cos60^0-tan40^0-cos60^0+tan40^0=0\)
\(A=\sin42^0-\cos48^0=\sin42^0-\sin42^0=0\)
\(B=\cot56^0-\tan34^0=\tan34^0-\tan34^0=0\)
b,ta có :\(\frac{sin^2a-cos^2a\left(1-cos^2a\right)}{cos^2a-sin^2a\left(1-sin^2a\right)}=\frac{sin^4a}{cos^4a}\)
=>\(\frac{sin^2a-sin^2a.cos^2a}{cos^2a-sin^2a.cos^2a}=\frac{sin^4a}{cos^4a}\)
=>\(\frac{sin^2a\left(1-cos^2a\right)}{cos^2a\left(1-sin^2a\right)}=\frac{sin^4a}{cos^4a}\)
=>\(\frac{sin^4a}{cos^4a}=\frac{sin^4a}{cos^4a}\)luon dung => dpcm
a)1-1+1=1
a.1
b.1,140119483
c.0,353338015