\(A=sin42^0-cos48^0=cos\left(90^0-42^0\right)-cos48^0=cos48^0-cos48^0=0\)

\(B=cot56^0-tan34^0=tan\left(90^0-56^0\right)-tan34^0=tan34^0-tan34^0=0\)

\(C=sin30^0-cot50^0-cos60^0+tan40^0\)

\(=cos\left(90^0-30^0\right)-tan\left(90^0-50^0\right)-cos60^0+tan40^0\)

\(=cos60^0-tan40^0-cos60^0+tan40^0=0\)

\(A=\sin42^0-\cos48^0=\sin42^0-\sin42^0=0\)

\(B=\cot56^0-\tan34^0=\tan34^0-\tan34^0=0\)

a: \(cos32=sin58;cos53=sin37;cos8=sin82\)

18<37<44<58<82

=>\(sin18< sin37< sin44< sin58< sin82\)

=>\(sin18< cos53< sin44< cos32< cos8\)

b: 20<45

=>\(sin20< tan20\)

\(cot8=tan82;cot37=tan53\)

20<40<53<82

=>\(tan20< tan40< tan53< tan82\)

=>\(tan20< tan40< cot37< cot8\)

=>\(sin20< tan20< tan40< cot37< cot8\)

d

D

a: \(cos40^0=\sin\left(90^0-40^0\right)=\sin50^0\)

\(cos30^0=\sin\left(90^0-30^0\right)=\sin60^0\)

50<51<60<70

=>sin 50<sin 51<sin 60<sin 70

=>cos40<sin51<cos30<sin70

b: cos34 độ=sin(90 độ-34 độ)=sin 56 độ

Ta có: sin 56 độ<sin 57 độ<1

1=cot 45 độ<cot 32 độ

Do đó: sin 56 độ<sin 57 độ<cot 32 độ

=>cos34 độ<sin 57 độ<cot 32 độ

a)     \({\cos ^2}\alpha  + {\sin ^2}\alpha  = 1\)

b)     \(\tan \alpha .\cot \alpha  = \frac{{\sin \alpha }}{{\cos \alpha }}.\frac{{\cos \alpha }}{{\sin \alpha }} = 1\)

c)     \(\frac{{{{\sin }^2}\alpha  + {{\cos }^2}\alpha }}{{{{\cos }^2}\alpha }} = \frac{{{{\sin }^2}\alpha }}{{{{\cos }^2}\alpha }} + \frac{{{{\cos }^2}\alpha }}{{{{\cos }^2}\alpha }} = {\tan ^2}\alpha  + 1\)

d)     \(\frac{1}{{{{\sin }^2}\alpha }} = \frac{{{{\sin }^2}\alpha  + {{\cos }^2}\alpha }}{{{{\sin }^2}\alpha }} = \frac{{{{\sin }^2}\alpha }}{{{{\sin }^2}\alpha }} + \frac{{{{\cos }^2}\alpha }}{{{{\sin }^2}\alpha }} = 1 + {\cot ^2}\alpha \)

a,35+55=90 nên sin 35=cos 55

b,12+78=90 nên tan 12 =cot 78

tik mik nha

a: \(\sin35^0=\cos55^0\)

b: \(\tan12^0=\cot78^0\)

sin75=cos15

cos53=sin37

tan71=cot19

cot47=tan43

sin57 độ 25'=cos 32 độ 35'

tan 68 độ35'=cot 21 độ 25'

cos 87 độ 12 p=sin 2 độ 48'