Lahenda frac{sin^{2}63^{circ}+sin^{2}27^{circ}}{cos^217^circ+cos^273^circ}

$$\frac { \sin ^ { 2 } 63 ^ { \circ } + \sin ^ { 2 } 27 ^ { \circ } } { \cos ^ { 2 } 17 ^ { \circ } + \cos ^ { 2 } 73 ^ { \circ } }$$

Arvuta

$$\frac{9999999999999998511381227235124025}{9999999999999998689331517803631929}\approx 1$$

Lahenduse etapid

Evaluate trigonometric functions in the problem

$$\frac{0,8910065241883678 ^ {2} + 0,45399049973954675 ^ {2}}{0,9563047559630354 ^ {2} + 0,29237170472273677 ^ {2}}$$

Arvutage 2 aste 0,8910065241883678 ja leidke 0,79389262614623645345853682807684.

$$\frac{0,79389262614623645345853682807684+0,45399049973954675^{2}}{0,9563047559630354^{2}+0,29237170472273677^{2}}$$

Arvutage 2 aste 0,45399049973954675 ja leidke 0,2061073738537633976795858954355625.

$$\frac{0,79389262614623645345853682807684+0,2061073738537633976795858954355625}{0,9563047559630354^{2}+0,29237170472273677^{2}}$$

Liitke 0,79389262614623645345853682807684 ja 0,2061073738537633976795858954355625, et leida 0,9999999999999998511381227235124025.

$$\frac{0,9999999999999998511381227235124025}{0,9563047559630354^{2}+0,29237170472273677^{2}}$$

Arvutage 2 aste 0,9563047559630354 ja leidke 0,91451878627752069043409118165316.

$$\frac{0,9999999999999998511381227235124025}{0,91451878627752069043409118165316+0,29237170472273677^{2}}$$

Arvutage 2 aste 0,29237170472273677 ja leidke 0,0854812137224791784990605987100329.

$$\frac{0,9999999999999998511381227235124025}{0,91451878627752069043409118165316+0,0854812137224791784990605987100329}$$

Liitke 0,91451878627752069043409118165316 ja 0,0854812137224791784990605987100329, et leida 0,9999999999999998689331517803631929.

$$\frac{0,9999999999999998511381227235124025}{0,9999999999999998689331517803631929}$$

Saate \frac{0,9999999999999998511381227235124025}{0,9999999999999998689331517803631929} laiendada, korrutades nii lugeja kui ka nimetaja 10000000000000000000000000000000000.

$$\frac{9999999999999998511381227235124025}{9999999999999998689331517803631929}$$