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A= \(\frac{1}{2}\)[sin(-10)+sin90] +\(\frac{1}{2}\)(sin10+sin90)
A= \(\frac{1}{2}\)(-sin10 +1) +\(\frac{1}{2}\)(sin10 +1)
A=\(\frac{1}{2}\)(-sin10+sin10)+1
A= 1
a: \(\sin25^0< \sin70^0\)
b: \(\cos40^0>\cos75^0\)
c: \(\sin38^0=\cos52^0< \cos27^0\)
d: \(\sin50^0=\cos40^0>\cos50^0\)
a/ \(\tan40.\cot40+\frac{\sin50}{\cos40}\)
\(=1+\frac{\cos40}{\cos40}=1+1=2\)
\(\cot65^0=\tan25^0< \cot60^0=\tan30^0< \tan50^0< \tan70^0\)
\(=\left(1+tan^220\right).cos^220-tan40.cot\left(90-50\right)\)
\(=\left(1+\frac{sin^220}{cos^220}\right).cos^220-tan40.cot40\)
\(=cos^220+sin^220-1\)
\(=1-1=0\)
a) Ta có: \(sin\alpha=cos\left(90-\alpha\right)\Rightarrow sin42=cos48\)
\(\Rightarrow sin42-cos48=0\)
b) Ta có: \(sin\alpha=cos\left(90-\alpha\right)\Rightarrow sin61=cos29\Rightarrow sin^261=cos^229\)
\(\Rightarrow sin^261+sin^229=sin^229+cos^229=1\)
c) Ta có: \(tan\alpha=\dfrac{1}{tan\left(90-\alpha\right)}\Rightarrow tan40=\dfrac{1}{tan50}\)
\(\Rightarrow tan40.tan50=1\) mà \(tan45=1\Rightarrow tan40.tan45.tan50=1\)
\(sin42^0-cos48^0=sin42^0-sin\left(90^0-48^0\right)=sin42^0-sin42^0=0\)
\(sin^261^0+sin^229^0=sin^261^0+cos^2\left(90^0-29^0\right)=sin^261^0+cos^261^0=1\)
\(tan40^0.tan50^0.tan45^0=tan40^0.cot\left(90^0-50^0\right).1=tan40^0.cot40^0=1\)
Sử dụng các công thức:
\(cosa=sin\left(90^0-a\right)\) ; \(sina=cos\left(90^0-a\right)\) ; \(tana=cot\left(90^0-a\right)\) ; \(tana.cota=1\)
cos 50=sin 40(2 góc phụ nhau)
50>40=>sin 50> sin 40=> sin 50> cos 50 (1)
sin 50<1 (2)
tan 50 =sin50/cos 50=sin50 / sin40 > 1(tử lớn hơn mẫu)=>tan 50>1 (3)
(1)(2)(3)=> tan50>sin50>cos50
cos50 = sin40
<=> cos50 < sin50
tan50=cot40
:v.... sao k thấy lq j hết