Solve 8sin^235^circ+cos^235^circ

$$8 \sin ^ { 2 } 35 ^ { \circ } + \cos ^ { 2 } 35 ^ { \circ }$$

Evaluate

$$3.30292949836015856924075701339524$$

Solution Steps

Evaluate trigonometric functions in the problem

$$8 \cdot 0.573576436351046 ^ {2} + 0.8191520442889918 ^ {2}$$

Calculate 0.573576436351046 to the power of 2 and get 0.328989928337165523227345294116.

$$8\times 0.328989928337165523227345294116+0.8191520442889918^{2}$$

Multiply 8 and 0.328989928337165523227345294116 to get 2.631919426697324185818762352928.

$$2.631919426697324185818762352928+0.8191520442889918^{2}$$

Calculate 0.8191520442889918 to the power of 2 and get 0.67101007166283438342199466046724.

$$2.631919426697324185818762352928+0.67101007166283438342199466046724$$

Add 2.631919426697324185818762352928 and 0.67101007166283438342199466046724 to get 3.30292949836015856924075701339524.

$$3.30292949836015856924075701339524$$

Factor

$$\frac{1800553 \cdot 47972153 \cdot 79803810335971 \cdot 3 ^ {2} \cdot 11 ^ {3}}{2 ^ {30} \cdot 5 ^ {32}} = 3\frac{7.5732374590039635 \times 10^{30}}{2.5000000000000004 \times 10^{31}} = 3.3029294983601587$$