다음을 풀어보세요: frac{sin^{2}63^{circ}+sin^{2}27^{circ}}{cos^217^circ+cos^273^circ}

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

계산

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

해답 단계

Evaluate trigonometric functions in the problem

$$\frac{0.8910065241883678 ^ {2} + 0.45399049973954675 ^ {2}}{0.9563047559630354 ^ {2} + 0.29237170472273677 ^ {2}}$$

0.8910065241883678의 2제곱을 계산하여 0.79389262614623645345853682807684을(를) 구합니다.

$$\frac{0.79389262614623645345853682807684+0.45399049973954675^{2}}{0.9563047559630354^{2}+0.29237170472273677^{2}}$$

0.45399049973954675의 2제곱을 계산하여 0.2061073738537633976795858954355625을(를) 구합니다.

$$\frac{0.79389262614623645345853682807684+0.2061073738537633976795858954355625}{0.9563047559630354^{2}+0.29237170472273677^{2}}$$

0.79389262614623645345853682807684과(와) 0.2061073738537633976795858954355625을(를) 더하여 0.9999999999999998511381227235124025을(를) 구합니다.

$$\frac{0.9999999999999998511381227235124025}{0.9563047559630354^{2}+0.29237170472273677^{2}}$$

0.9563047559630354의 2제곱을 계산하여 0.91451878627752069043409118165316을(를) 구합니다.

$$\frac{0.9999999999999998511381227235124025}{0.91451878627752069043409118165316+0.29237170472273677^{2}}$$

0.29237170472273677의 2제곱을 계산하여 0.0854812137224791784990605987100329을(를) 구합니다.

$$\frac{0.9999999999999998511381227235124025}{0.91451878627752069043409118165316+0.0854812137224791784990605987100329}$$

0.91451878627752069043409118165316과(와) 0.0854812137224791784990605987100329을(를) 더하여 0.9999999999999998689331517803631929을(를) 구합니다.

$$\frac{0.9999999999999998511381227235124025}{0.9999999999999998689331517803631929}$$

분자와 분모 모두에 10000000000000000000000000000000000을(를) 곱하여 \frac{0.9999999999999998511381227235124025}{0.9999999999999998689331517803631929}을(를) 확장합니다.

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