Lahenda frac{cos37^{circ}+sin37^circ}{cos37^circ-sin37^circ}=cot8^circ

$$\frac { \cos 37 ^ { \circ } + \sin 37 ^ { \circ } } { \cos 37 ^ { \circ } - \sin 37 ^ { \circ } } = \cot 8 ^ { \circ }$$

Kontrolli

Lahenduse etapid

Evaluate trigonometric functions in the problem

$$\frac{0,7986355100472928 + 0,6018150231520483}{0,7986355100472928 - 0,6018150231520483} = 7,115369722384209$$

Liitke 0,7986355100472928 ja 0,6018150231520483, et leida 1,4004505331993411.

$$\frac{1,4004505331993411}{0,7986355100472928-0,6018150231520483}=7,115369722384209$$

Lahutage 0,6018150231520483 väärtusest 0,7986355100472928, et leida 0,1968204868952445.

$$\frac{1,4004505331993411}{0,1968204868952445}=7,115369722384209$$

Saate \frac{1,4004505331993411}{0,1968204868952445} laiendada, korrutades nii lugeja kui ka nimetaja 10000000000000000.

$$\frac{14004505331993411}{1968204868952445}=7,115369722384209$$

Teisendage kümnendarv 7,115369722384209 murdarvuks \frac{7115369722384209}{10000000000}. Taandage murd \frac{7115369722384209}{10000000000} vähimale ühiskordsele, eraldades ja taandades arvu 1.

$$\frac{14004505331993411}{1968204868952445}=\frac{7115369722384209}{1000000000000000}$$

1968204868952445 ja 1000000000000000 vähim ühiskordne on 393640973790489000000000000000. Teisendage \frac{14004505331993411}{1968204868952445} ja \frac{7115369722384209}{1000000000000000} murdarvudeks, mille nimetaja on 393640973790489000000000000000.

$$\frac{2800901066398682200000000000000}{393640973790489000000000000000}=\frac{2800901066398681407073127988201}{393640973790489000000000000000}$$

Võrrelge omavahel \frac{2800901066398682200000000000000}{393640973790489000000000000000} ja \frac{2800901066398681407073127988201}{393640973790489000000000000000}.

$$\text{false}$$