Whakaoti i te frac{5cos0^{circ}-2sin30^{circ}+sqrt{3}cos30^{circ}}{tan30^{circ}*tan60^circ*cos60^circ}+3sin29^circsec61^circ

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

Aromātai

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

Ngā Hipanga Rongoā Poto

Evaluate trigonometric functions in the problem

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

Tīkina te uara \cos(0) mai i te ripanga uara pākoki.

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

Whakareatia te 5 ki te 1, ka 5.

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

Tīkina te uara \sin(30) mai i te ripanga uara pākoki.

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

Whakareatia te 2 ki te \frac{1}{2}, ka 1.

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

Tangohia te 1 i te 5, ka 4.

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

Tīkina te uara \cos(30) mai i te ripanga uara pākoki.

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

Tuhia te \sqrt{3}\times \frac{\sqrt{3}}{2} hei hautanga kotahi.

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

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 4 ki te \frac{2}{2}.

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

Tā te mea he rite te tauraro o \frac{4\times 2}{2} me \frac{\sqrt{3}\sqrt{3}}{2}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

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

Mahia ngā whakarea i roto o 4\times 2+\sqrt{3}\sqrt{3}.

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

Mahia ngā tātaitai i roto o 8+3.

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

Tuhia te \frac{\frac{11}{2}}{0.3118580165482944} hei hautanga kotahi.

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

Whakareatia te 2 ki te 0.3118580165482944, ka 0.6237160330965888.

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

Whakarohaina te \frac{11}{0.6237160330965888} mā te whakarea i te taurunga me te tauraro ki te 10000000000000000.

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

Whakahekea te hautanga \frac{110000000000000000}{6237160330965888} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 128.

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

Whakareatia te 3 ki te 0.48480962024633706, ka 1.45442886073901118.

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

Whakareatia te 1.45442886073901118 ki te 2.062665339627314, ka 2.99999999999999987246512207937052.

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

Tāpirihia te \frac{859375000000000}{48727815085671} ki te 2.99999999999999987246512207937052, ka \frac{25138961131425324844637601292748537216888795473}{1218195377141775000000000000000000000000000000}.

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