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\(A=sin42^0-cos48^0=cos\left(90^0-42^0\right)-cos48^0=cos48^0-cos48^0=0\)
\(B=cot56^0-tan34^0=tan\left(90^0-56^0\right)-tan34^0=tan34^0-tan34^0=0\)
\(C=sin30^0-cot50^0-cos60^0+tan40^0\)
\(=cos\left(90^0-30^0\right)-tan\left(90^0-50^0\right)-cos60^0+tan40^0\)
\(=cos60^0-tan40^0-cos60^0+tan40^0=0\)
\(A=\sin42^0-\cos48^0=\sin42^0-\sin42^0=0\)
\(B=\cot56^0-\tan34^0=\tan34^0-\tan34^0=0\)
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: Ta có: \(A=\left(\sin30^0-cos60^0\right)+\left(\tan40^0\cdot\tan50^0\right)\)
\(=\left(\sin30^0-\sin30^0\right)+\left(\tan40^0\cdot\cot40^0\right)\)
=0+1
=1
b: \(B=\left(cos^220^0+cos^270^0\right)-\left(\cot42^0\cdot\cot48^0\right)\)
\(=\left(\sin^220^0+cos^220^0\right)-\left(\cot42^0\cdot\tan42^0\right)\)
=1-1
=0
Ta có: \(\frac{\tan\alpha}{\cot\alpha}+\frac{\cot\alpha}{\tan\alpha}-\frac{\sin^2\alpha}{cos^2\alpha}\)
\(=1+1-\tan^2\alpha=2-\tan^2\alpha\)
a: \(\frac{3\cdot\cot60^0}{2\cdot cos^230^0-1}\)
\(=\frac{3\cdot\frac{1}{\sqrt3}}{2\cdot\left(\frac{\sqrt3}{2}\right)^2-1}=\frac{\sqrt3}{2\cdot\frac34-1}=\frac{\sqrt3}{\frac32-1}=\sqrt3:\frac12=2\sqrt3\)
b: \(\frac{cos60^0}{1+\sin60^0}+\frac{1}{\tan30^0}\)
\(=\frac12:\left(1+\frac{\sqrt3}{2}\right)+1:\frac{1}{\sqrt3}=\frac12:\frac{2+\sqrt3}{2}+\sqrt3=\frac{1}{2+\sqrt3}+\sqrt3\)
\(=2-\sqrt3+\sqrt3\)
=2
Chọn B
C