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

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

Evaluate

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

Solution Steps

Evaluate trigonometric functions in the problem

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

Calculate 0.8910065241883678 to the power of 2 and get 0.79389262614623645345853682807684.

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

Calculate 0.45399049973954675 to the power of 2 and get 0.2061073738537633976795858954355625.

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

Add 0.79389262614623645345853682807684 and 0.2061073738537633976795858954355625 to get 0.9999999999999998511381227235124025.

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

Calculate 0.9563047559630354 to the power of 2 and get 0.91451878627752069043409118165316.

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

Calculate 0.29237170472273677 to the power of 2 and get 0.0854812137224791784990605987100329.

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

Add 0.91451878627752069043409118165316 and 0.0854812137224791784990605987100329 to get 0.9999999999999998689331517803631929.

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

Expand \frac{0.9999999999999998511381227235124025}{0.9999999999999998689331517803631929} by multiplying both numerator and the denominator by 10000000000000000000000000000000000.

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