Leysa sin60^circ*cos30^circ+1/tan4

$$\sin 60 ^ { \circ } \cdot \cos 30 ^ { \circ } + \frac { 1 } { \tan 4 }$$

Meta

$$\frac{1055074157199173715830683993148479}{69926811943510410000000000000000}\approx 15.088263398$$

Lausnarskref

Evaluate trigonometric functions in the problem

$$0.7875971414750719 + \frac{1}{0.06992681194351041}$$

Leystu upp \frac{1}{0.06992681194351041} með því að margfalda bæði teljara og nefnara með 100000000000000000.

$$0.7875971414750719+\frac{100000000000000000}{6992681194351041}$$

Breyta tugabrotinu 0.7875971414750719 í brot \frac{7875971414750719}{10000000000}. Minnka brotið \frac{7875971414750719}{10000000000} eins mikið og hægt er með því að draga og stytta út 1.

$$\frac{7875971414750719}{10000000000000000}+\frac{100000000000000000}{6992681194351041}$$

Sjaldgæfasta margfeldi 10000000000000000 og 6992681194351041 er 69926811943510410000000000000000. Breyttu \frac{7875971414750719}{10000000000000000} og \frac{100000000000000000}{6992681194351041} í brot með nefnaranum 69926811943510410000000000000000.

$$\frac{55074157199173715830683993148479}{69926811943510410000000000000000}+\frac{1000000000000000000000000000000000}{69926811943510410000000000000000}$$

Þar sem \frac{55074157199173715830683993148479}{69926811943510410000000000000000} og \frac{1000000000000000000000000000000000}{69926811943510410000000000000000} eru með sama nefnara skaltu leggja saman með því að leggja saman teljarana.

$$\frac{55074157199173715830683993148479+1000000000000000000000000000000000}{69926811943510410000000000000000}$$

Leggðu saman 55074157199173715830683993148479 og 1000000000000000000000000000000000 til að fá 1055074157199173715830683993148479.

$$\frac{1055074157199173715830683993148479}{69926811943510410000000000000000}$$