frac{2/2sin3^{circ}sin84^{circ}sin87^{circ}}{sin12^{circ}}-frac{sin^{2}27^{circ}-cos^{2}27^{circ}}{2sin6^circcos6^circ(3-4sin^212^circ)} କୁ ସମାଧାନ କରନ୍ତୁ

$$\frac { \frac { 2 } { 2 } \sin 3 ^ { \circ } \sin 84 ^ { \circ } \sin 87 ^ { \circ } } { \sin 12 ^ { \circ } } - \frac { \sin ^ { 2 } 27 ^ { \circ } - \cos ^ { 2 } 27 ^ { \circ } } { 2 \sin 6 ^ { \circ } \cos 6 ^ { \circ } ( 3 - 4 \sin ^ { 2 } 12 ^ { \circ } ) }$$

ମୂଲ୍ୟାୟନ କରିବା

$$\frac{107911000512775026917055443408919316779890884913062057631792086466736686481041}{33833371706466818736292319830373191000111189050000000000000000000000000000000}\approx 3.189484082$$

ସମାଧାନ କରିବା ପଦକ୍ଷେପଗୁଡିକ

ଅଙ୍କରେ ତ୍ରିକୋଣମିିତି କାର୍ଯ୍ୟକାରିତାର ମୂଲ୍ୟାୟନ କରନ୍ତୁ

$$\frac{\frac{2}{2} 0.05233595624294383 \cdot 0.9945218953682733 \cdot 0.9986295347545738}{0.20791169081775931} - \frac{0.45399049973954675 ^ {2} - 0.8910065241883679 ^ {2}}{2 \cdot 0.10452846326765346 \cdot 0.9564956763167232}$$

1 ପ୍ରାପ୍ତ କରିବାକୁ 2 କୁ 2 ଦ୍ୱାରା ବିଭକ୍ତ କରନ୍ତୁ.

$$\frac{1\times 0.05233595624294383\times 0.9945218953682733\times 0.9986295347545738}{0.20791169081775931}-\frac{0.45399049973954675^{2}-0.8910065241883679^{2}}{2\times 0.10452846326765346\times 0.9564956763167232}$$

0.05233595624294383 ପ୍ରାପ୍ତ କରିବାକୁ 1 ଏବଂ 0.05233595624294383 ଗୁଣନ କରନ୍ତୁ.

$$\frac{0.05233595624294383\times 0.9945218953682733\times 0.9986295347545738}{0.20791169081775931}-\frac{0.45399049973954675^{2}-0.8910065241883679^{2}}{2\times 0.10452846326765346\times 0.9564956763167232}$$

0.052049254398643513504402375988739 ପ୍ରାପ୍ତ କରିବାକୁ 0.05233595624294383 ଏବଂ 0.9945218953682733 ଗୁଣନ କରନ୍ତୁ.

$$\frac{0.052049254398643513504402375988739\times 0.9986295347545738}{0.20791169081775931}-\frac{0.45399049973954675^{2}-0.8910065241883679^{2}}{2\times 0.10452846326765346\times 0.9564956763167232}$$

0.0519779227044398258017752025124954343964775444382 ପ୍ରାପ୍ତ କରିବାକୁ 0.052049254398643513504402375988739 ଏବଂ 0.9986295347545738 ଗୁଣନ କରନ୍ତୁ.

$$\frac{0.0519779227044398258017752025124954343964775444382}{0.20791169081775931}-\frac{0.45399049973954675^{2}-0.8910065241883679^{2}}{2\times 0.10452846326765346\times 0.9564956763167232}$$

ଉଭୟ ଲବ ଏବଂ ହରକୁ 10000000000000000000000000000000000000000000000000 ଦ୍ୱାରା ଗୁଣନ କରିବା ଦ୍ୱାରା \frac{0.0519779227044398258017752025124954343964775444382}{0.20791169081775931} ପ୍ରସାରଣ କରନ୍ତୁ.

$$\frac{519779227044398258017752025124954343964775444382}{2079116908177593100000000000000000000000000000000}-\frac{0.45399049973954675^{2}-0.8910065241883679^{2}}{2\times 0.10452846326765346\times 0.9564956763167232}$$

2 ବାହାର କରିବା ଏବଂ ବାତିଲ୍‌ କରିବା ଦ୍ୱାରା ନିମ୍ନତମ ପଦରେ ଅନ୍ତରାଳ \frac{519779227044398258017752025124954343964775444382}{2079116908177593100000000000000000000000000000000} ହ୍ରାସ କରନ୍ତୁ.

$$\frac{259889613522199129008876012562477171982387722191}{1039558454088796550000000000000000000000000000000}-\frac{0.45399049973954675^{2}-0.8910065241883679^{2}}{2\times 0.10452846326765346\times 0.9564956763167232}$$

2 ର 0.45399049973954675 ପାୱାର୍‌ ହିସାବ କରନ୍ତୁ ଏବଂ 0.2061073738537633976795858954355625 ପ୍ରାପ୍ତ କରନ୍ତୁ.

$$\frac{259889613522199129008876012562477171982387722191}{1039558454088796550000000000000000000000000000000}-\frac{0.2061073738537633976795858954355625-0.8910065241883679^{2}}{2\times 0.10452846326765346\times 0.9564956763167232}$$

2 ର 0.8910065241883679 ପାୱାର୍‌ ହିସାବ କରନ୍ତୁ ଏବଂ 0.79389262614623663165984166575041 ପ୍ରାପ୍ତ କରନ୍ତୁ.

$$\frac{259889613522199129008876012562477171982387722191}{1039558454088796550000000000000000000000000000000}-\frac{0.2061073738537633976795858954355625-0.79389262614623663165984166575041}{2\times 0.10452846326765346\times 0.9564956763167232}$$

-0.5877852522924732339802557703148475 ପ୍ରାପ୍ତ କରିବାକୁ 0.2061073738537633976795858954355625 ଏବଂ 0.79389262614623663165984166575041 ବିୟୋଗ କରନ୍ତୁ.

$$\frac{259889613522199129008876012562477171982387722191}{1039558454088796550000000000000000000000000000000}-\frac{-0.5877852522924732339802557703148475}{2\times 0.10452846326765346\times 0.9564956763167232}$$

0.20905692653530692 ପ୍ରାପ୍ତ କରିବାକୁ 2 ଏବଂ 0.10452846326765346 ଗୁଣନ କରନ୍ତୁ.

$$\frac{259889613522199129008876012562477171982387722191}{1039558454088796550000000000000000000000000000000}-\frac{-0.5877852522924732339802557703148475}{0.20905692653530692\times 0.9564956763167232}$$

0.199962046335083909067305240684544 ପ୍ରାପ୍ତ କରିବାକୁ 0.20905692653530692 ଏବଂ 0.9564956763167232 ଗୁଣନ କରନ୍ତୁ.

$$\frac{259889613522199129008876012562477171982387722191}{1039558454088796550000000000000000000000000000000}-\frac{-0.5877852522924732339802557703148475}{0.199962046335083909067305240684544}$$

ଉଭୟ ଲବ ଏବଂ ହରକୁ 10000000000000000000000000000000000 ଦ୍ୱାରା ଗୁଣନ କରିବା ଦ୍ୱାରା \frac{-0.5877852522924732339802557703148475}{0.199962046335083909067305240684544} ପ୍ରସାରଣ କରନ୍ତୁ.

$$\frac{259889613522199129008876012562477171982387722191}{1039558454088796550000000000000000000000000000000}-\frac{-5877852522924732339802557703148475}{1999620463350839090673052406845440}$$

15 ବାହାର କରିବା ଏବଂ ବାତିଲ୍‌ କରିବା ଦ୍ୱାରା ନିମ୍ନତମ ପଦରେ ଅନ୍ତରାଳ \frac{-5877852522924732339802557703148475}{1999620463350839090673052406845440} ହ୍ରାସ କରନ୍ତୁ.

$$\frac{259889613522199129008876012562477171982387722191}{1039558454088796550000000000000000000000000000000}-\left(-\frac{391856834861648822653503846876565}{133308030890055939378203493789696}\right)$$

-\frac{391856834861648822653503846876565}{133308030890055939378203493789696} ର ବିପରୀତ ହେଉଛି \frac{391856834861648822653503846876565}{133308030890055939378203493789696}.

$$\frac{259889613522199129008876012562477171982387722191}{1039558454088796550000000000000000000000000000000}+\frac{391856834861648822653503846876565}{133308030890055939378203493789696}$$

1039558454088796550000000000000000000000000000000 ଏବଂ 133308030890055939378203493789696 ର ଲଘିଷ୍ଟ ସାଧାରଣ ଗୁଣନିୟକ ହେଉଛି 33833371706466818736292319830373191000111189050000000000000000000000000000000. \frac{259889613522199129008876012562477171982387722191}{1039558454088796550000000000000000000000000000000} ଏବଂ \frac{391856834861648822653503846876565}{133308030890055939378203493789696} କୁ 33833371706466818736292319830373191000111189050000000000000000000000000000000 ହର ଥିବା ଭଗ୍ନାଂଶକୁ ରୂପାନ୍ତରିତ କରନ୍ତୁ.

$$\frac{8458342926616704407721757006270970284559525574500045913042086466736686481041}{33833371706466818736292319830373191000111189050000000000000000000000000000000}+\frac{99452657586158322509333686402648346495331359338562011718750000000000000000000}{33833371706466818736292319830373191000111189050000000000000000000000000000000}$$

ଯେହେତୁ \frac{8458342926616704407721757006270970284559525574500045913042086466736686481041}{33833371706466818736292319830373191000111189050000000000000000000000000000000} ଏବଂ \frac{99452657586158322509333686402648346495331359338562011718750000000000000000000}{33833371706466818736292319830373191000111189050000000000000000000000000000000} ର ସମାନ ହର ରହିଛି, ସେଗୁଡିକର ହରଗୁଡିକୁ ଯୋଗ କରିବା ଦ୍ୱାରା ସେଗୁଡିକ ଯୋଗ କରନ୍ତୁ.

$$\frac{8458342926616704407721757006270970284559525574500045913042086466736686481041+99452657586158322509333686402648346495331359338562011718750000000000000000000}{33833371706466818736292319830373191000111189050000000000000000000000000000000}$$

107911000512775026917055443408919316779890884913062057631792086466736686481041 ପ୍ରାପ୍ତ କରିବାକୁ 8458342926616704407721757006270970284559525574500045913042086466736686481041 ଏବଂ 99452657586158322509333686402648346495331359338562011718750000000000000000000 ଯୋଗ କରନ୍ତୁ.

$$\frac{107911000512775026917055443408919316779890884913062057631792086466736686481041}{33833371706466818736292319830373191000111189050000000000000000000000000000000}$$