Zgjidh 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

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

Vlerëso

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

Hapat e zgjidhjes

Evaluate trigonometric functions in the problem

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

Llogarit 0.7431448254773941 në fuqi të 2 dhe merr 0.55226423163382653502897012671481.

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

Llogarit 0.7431448254773942 në fuqi të 2 dhe merr 0.55226423163382668365793522219364.

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

Zhvillo \frac{0.55226423163382653502897012671481}{0.55226423163382668365793522219364} duke shumëzuar si numëruesin ashtu dhe emëruesin me 100000000000000000000000000000000.

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

Zhvillo \frac{1.624269245482744}{1.6242692454827443} duke shumëzuar si numëruesin ashtu dhe emëruesin me 10000000000000000.

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

Shto \frac{55226423163382653502897012671481}{55226423163382668365793522219364} dhe \frac{16242692454827440}{16242692454827443} për të marrë \frac{1794051613645965980589349118007741600064748801243}{897025806822983193841037800335142264885013206252}.

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

Llogarit 0.8390996311772799 në fuqi të 2 dhe merr 0.70408819104184715837886196294401.

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

Llogarit 0.83909963117728 në fuqi të 2 dhe merr 0.7040881910418473261987881984.

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

Zhvillo \frac{0.70408819104184715837886196294401}{0.7040881910418473261987881984} duke shumëzuar si numëruesin ashtu dhe emëruesin me 100000000000000000000000000000000.

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

Zbrit \frac{70408819104184715837886196294401}{70408819104184732619878819840000} nga \frac{1794051613645965980589349118007741600064748801243}{897025806822983193841037800335142264885013206252} për të marrë \frac{1435421085554199294616851248464666196425972264351012763664496078997752153075567}{1435421085554199603913161801050963338265039225752327084846636455870551582720000}.

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

Merr vlerën e \sin(90) nga tabela e vlerave trigonometrike.

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

Merr vlerën e \cos(0) nga tabela e vlerave trigonometrike.

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

Shumëzo 1 me 1 për të marrë 1.

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

Shto \frac{1435421085554199294616851248464666196425972264351012763664496078997752153075567}{1435421085554199603913161801050963338265039225752327084846636455870551582720000} dhe 1 për të marrë \frac{2870842171108398898530013049515629534691011490103339848511132534868303735795567}{1435421085554199603913161801050963338265039225752327084846636455870551582720000}.

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