Issolvi frac{5cos(0)-2sin(30)+sqrt{3}cos(30)}{tan(30tan(60cos(60)))}+3sin(29)sec(61)

$$\frac{ 5 \cos ( 0 ) -2 \sin ( 30 ) + \sqrt{ 3 } \cos ( 30 ) }{ \tan ( 30 \tan ( 60 \cos ( 60 ) ) ) } +3 \sin ( 29 ) \sec ( 61 )$$

Evalwa

$$\frac{25138961131425324844637601292748537216888795473}{1218195377141775000000000000000000000000000000}\approx 20.636230939$$

Passi Qosra tas-Soluzzjonijiet

Evaluate trigonometric functions in the problem

$$\frac{5 \cos(0) - 2 \sin(30) + \sqrt{3} \cos(30)}{0.3118580165482944} + 3 \cdot 0.48480962024633706 \cdot 2.062665339627314$$

Ikseb il-valur ta’ \cos(0) mit-tabella tal-valuri trigonometriċi.

$$\frac{5\times 1-2\sin(30)+\sqrt{3}\cos(30)}{0.3118580165482944}+3\times 0.48480962024633706\times 2.062665339627314$$

Immultiplika 5 u 1 biex tikseb 5.

$$\frac{5-2\sin(30)+\sqrt{3}\cos(30)}{0.3118580165482944}+3\times 0.48480962024633706\times 2.062665339627314$$

Ikseb il-valur ta’ \sin(30) mit-tabella tal-valuri trigonometriċi.

$$\frac{5-2\times \frac{1}{2}+\sqrt{3}\cos(30)}{0.3118580165482944}+3\times 0.48480962024633706\times 2.062665339627314$$

Immultiplika 2 u \frac{1}{2} biex tikseb 1.

$$\frac{5-1+\sqrt{3}\cos(30)}{0.3118580165482944}+3\times 0.48480962024633706\times 2.062665339627314$$

Naqqas 1 minn 5 biex tikseb 4.

$$\frac{4+\sqrt{3}\cos(30)}{0.3118580165482944}+3\times 0.48480962024633706\times 2.062665339627314$$

Ikseb il-valur ta’ \cos(30) mit-tabella tal-valuri trigonometriċi.

$$\frac{4+\sqrt{3}\times \frac{\sqrt{3}}{2}}{0.3118580165482944}+3\times 0.48480962024633706\times 2.062665339627314$$

Esprimi \sqrt{3}\times \frac{\sqrt{3}}{2} bħala frazzjoni waħda.

$$\frac{4+\frac{\sqrt{3}\sqrt{3}}{2}}{0.3118580165482944}+3\times 0.48480962024633706\times 2.062665339627314$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. Immultiplika 4 b'\frac{2}{2}.

$$\frac{\frac{4\times 2}{2}+\frac{\sqrt{3}\sqrt{3}}{2}}{0.3118580165482944}+3\times 0.48480962024633706\times 2.062665339627314$$

Billi \frac{4\times 2}{2} u \frac{\sqrt{3}\sqrt{3}}{2} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\frac{4\times 2+\sqrt{3}\sqrt{3}}{2}}{0.3118580165482944}+3\times 0.48480962024633706\times 2.062665339627314$$

Agħmel il-multiplikazzjonijiet fi 4\times 2+\sqrt{3}\sqrt{3}.

$$\frac{\frac{8+3}{2}}{0.3118580165482944}+3\times 0.48480962024633706\times 2.062665339627314$$

Agħmel il-kalkoli fi 8+3.

$$\frac{\frac{11}{2}}{0.3118580165482944}+3\times 0.48480962024633706\times 2.062665339627314$$

Esprimi \frac{\frac{11}{2}}{0.3118580165482944} bħala frazzjoni waħda.

$$\frac{11}{2\times 0.3118580165482944}+3\times 0.48480962024633706\times 2.062665339627314$$

Immultiplika 2 u 0.3118580165482944 biex tikseb 0.6237160330965888.

$$\frac{11}{0.6237160330965888}+3\times 0.48480962024633706\times 2.062665339627314$$

Espandi \frac{11}{0.6237160330965888} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10000000000000000.

$$\frac{110000000000000000}{6237160330965888}+3\times 0.48480962024633706\times 2.062665339627314$$

Naqqas il-frazzjoni \frac{110000000000000000}{6237160330965888} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 128.

$$\frac{859375000000000}{48727815085671}+3\times 0.48480962024633706\times 2.062665339627314$$

Immultiplika 3 u 0.48480962024633706 biex tikseb 1.45442886073901118.

$$\frac{859375000000000}{48727815085671}+1.45442886073901118\times 2.062665339627314$$

Immultiplika 1.45442886073901118 u 2.062665339627314 biex tikseb 2.99999999999999987246512207937052.

$$\frac{859375000000000}{48727815085671}+2.99999999999999987246512207937052$$

Żid \frac{859375000000000}{48727815085671} u 2.99999999999999987246512207937052 biex tikseb \frac{25138961131425324844637601292748537216888795473}{1218195377141775000000000000000000000000000000}.

$$\frac{25138961131425324844637601292748537216888795473}{1218195377141775000000000000000000000000000000}$$