ដោះស្រាយ frac{sin^{2}48^{circ}}{cos^{2}42^{circ}}+frac{sec52^{circ}}{csc38^{circ}}-frac{tan^{2}40^{circ}}{cot^250^circ}+sin90^circcos0^circ

$$\frac { \sin ^ { 2 } 48 ^ { \circ } } { \cos ^ { 2 } 42 ^ { \circ } } + \frac { \sec 52 ^ { \circ } } { \csc 38 ^ { \circ } } - \frac { \tan ^ { 2 } 40 ^ { \circ } } { \cot ^ { 2 } 50 ^ { \circ } } + \sin 90 ^ { \circ } \cos 0 ^ { \circ }$$

វាយតម្លៃ

$$\frac{2870842171108398898530013049515629534691011490103339848511132534868303735795567}{1435421085554199603913161801050963338265039225752327084846636455870551582720000}\approx 2$$

ជំហានចម្លើយ

Evaluate trigonometric functions in the problem

$$\frac{0.7431448254773941 ^ {2}}{0.7431448254773942 ^ {2}} + \frac{1.624269245482744}{1.6242692454827443} - \frac{0.8390996311772799 ^ {2}}{0.83909963117728 ^ {2}} + \sin(90) \cos(0)$$

គណនាស្វ័យគុណ 0.7431448254773941 នៃ 2 ហើយបាន 0.55226423163382653502897012671481។

$$\frac{0.55226423163382653502897012671481}{0.7431448254773942^{2}}+\frac{1.624269245482744}{1.6242692454827443}-\frac{0.8390996311772799^{2}}{0.83909963117728^{2}}+\sin(90)\cos(0)$$

គណនាស្វ័យគុណ 0.7431448254773942 នៃ 2 ហើយបាន 0.55226423163382668365793522219364។

$$\frac{0.55226423163382653502897012671481}{0.55226423163382668365793522219364}+\frac{1.624269245482744}{1.6242692454827443}-\frac{0.8390996311772799^{2}}{0.83909963117728^{2}}+\sin(90)\cos(0)$$

ពង្រីក \frac{0.55226423163382653502897012671481}{0.55226423163382668365793522219364} ដោយគុណទាំងភាគបែង និងភាគយកជាមួយនឹង 100000000000000000000000000000000។

$$\frac{55226423163382653502897012671481}{55226423163382668365793522219364}+\frac{1.624269245482744}{1.6242692454827443}-\frac{0.8390996311772799^{2}}{0.83909963117728^{2}}+\sin(90)\cos(0)$$

ពង្រីក \frac{1.624269245482744}{1.6242692454827443} ដោយគុណទាំងភាគបែង និងភាគយកជាមួយនឹង 10000000000000000។

$$\frac{55226423163382653502897012671481}{55226423163382668365793522219364}+\frac{16242692454827440}{16242692454827443}-\frac{0.8390996311772799^{2}}{0.83909963117728^{2}}+\sin(90)\cos(0)$$

បូក \frac{55226423163382653502897012671481}{55226423163382668365793522219364} និង \frac{16242692454827440}{16242692454827443} ដើម្បីបាន \frac{1794051613645965980589349118007741600064748801243}{897025806822983193841037800335142264885013206252}។

$$\frac{1794051613645965980589349118007741600064748801243}{897025806822983193841037800335142264885013206252}-\frac{0.8390996311772799^{2}}{0.83909963117728^{2}}+\sin(90)\cos(0)$$

គណនាស្វ័យគុណ 0.8390996311772799 នៃ 2 ហើយបាន 0.70408819104184715837886196294401។

$$\frac{1794051613645965980589349118007741600064748801243}{897025806822983193841037800335142264885013206252}-\frac{0.70408819104184715837886196294401}{0.83909963117728^{2}}+\sin(90)\cos(0)$$

គណនាស្វ័យគុណ 0.83909963117728 នៃ 2 ហើយបាន 0.7040881910418473261987881984។

$$\frac{1794051613645965980589349118007741600064748801243}{897025806822983193841037800335142264885013206252}-\frac{0.70408819104184715837886196294401}{0.7040881910418473261987881984}+\sin(90)\cos(0)$$

ពង្រីក \frac{0.70408819104184715837886196294401}{0.7040881910418473261987881984} ដោយគុណទាំងភាគបែង និងភាគយកជាមួយនឹង 100000000000000000000000000000000។

$$\frac{1794051613645965980589349118007741600064748801243}{897025806822983193841037800335142264885013206252}-\frac{70408819104184715837886196294401}{70408819104184732619878819840000}+\sin(90)\cos(0)$$

ដក​ \frac{70408819104184715837886196294401}{70408819104184732619878819840000} ពី \frac{1794051613645965980589349118007741600064748801243}{897025806822983193841037800335142264885013206252} ដើម្បីបាន \frac{1435421085554199294616851248464666196425972264351012763664496078997752153075567}{1435421085554199603913161801050963338265039225752327084846636455870551582720000}។

$$\frac{1435421085554199294616851248464666196425972264351012763664496078997752153075567}{1435421085554199603913161801050963338265039225752327084846636455870551582720000}+\sin(90)\cos(0)$$

ទទួល​យក​តម្លៃរបស់ \sin(90) ពី​តារាង​តម្លៃ​ត្រីកោណមាត្រសាស្ត្រ។

$$\frac{1435421085554199294616851248464666196425972264351012763664496078997752153075567}{1435421085554199603913161801050963338265039225752327084846636455870551582720000}+1\cos(0)$$

ទទួល​យក​តម្លៃរបស់ \cos(0) ពី​តារាង​តម្លៃ​ត្រីកោណមាត្រសាស្ត្រ។

$$\frac{1435421085554199294616851248464666196425972264351012763664496078997752153075567}{1435421085554199603913161801050963338265039225752327084846636455870551582720000}+1\times 1$$

គុណ 1 និង 1 ដើម្បីបាន 1។

$$\frac{1435421085554199294616851248464666196425972264351012763664496078997752153075567}{1435421085554199603913161801050963338265039225752327084846636455870551582720000}+1$$

បូក \frac{1435421085554199294616851248464666196425972264351012763664496078997752153075567}{1435421085554199603913161801050963338265039225752327084846636455870551582720000} និង 1 ដើម្បីបាន \frac{2870842171108398898530013049515629534691011490103339848511132534868303735795567}{1435421085554199603913161801050963338265039225752327084846636455870551582720000}។

$$\frac{2870842171108398898530013049515629534691011490103339848511132534868303735795567}{1435421085554199603913161801050963338265039225752327084846636455870551582720000}$$