Solve sin^218-cos36-cos^254+sin^272

$$\sin ^ { 2 } 18 - \cos 36 - \cos ^ { 2 } 54 + \sin ^ { 2 } 72$$

Evaluate

$$-0.1545084971874739057286385728946$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.3090169943749474 ^ {2} - 0.8090169943749475 - 0.5877852522924731 ^ {2} + 0.9510565162951535 ^ {2}$$

Calculate 0.3090169943749474 to the power of 2 and get 0.09549150281252627305281675276676.

$$0.09549150281252627305281675276676-0.8090169943749475-0.5877852522924731^{2}+0.9510565162951535^{2}$$

Subtract 0.8090169943749475 from 0.09549150281252627305281675276676 to get -0.71352549156242122694718324723324.

$$-0.71352549156242122694718324723324-0.5877852522924731^{2}+0.9510565162951535^{2}$$

Calculate 0.5877852522924731 to the power of 2 and get 0.34549150281252625365898291422361.

$$-0.71352549156242122694718324723324-0.34549150281252625365898291422361+0.9510565162951535^{2}$$

Subtract 0.34549150281252625365898291422361 from -0.71352549156242122694718324723324 to get -1.05901699437494748060616616145685.

$$-1.05901699437494748060616616145685+0.9510565162951535^{2}$$

Calculate 0.9510565162951535 to the power of 2 and get 0.90450849718747357487752758856225.

$$-1.05901699437494748060616616145685+0.90450849718747357487752758856225$$

Add -1.05901699437494748060616616145685 and 0.90450849718747357487752758856225 to get -0.1545084971874739057286385728946.

$$-0.1545084971874739057286385728946$$

Factor

$$-0.1545084971874739057286385728946$$