Solve sin^2(75^circ)+cos^2(75^circ)

$$\sin ^ { 2 } ( 75 ^ { \circ } ) + \cos ^ { 2 } ( 75 ^ { \circ } )$$

Evaluate

$$1.0000000000000000140288891841950376$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.9659258262890683 ^ {2} + 0.25881904510252074 ^ {2}$$

Calculate 0.9659258262890683 to the power of 2 and get 0.93301270189221934897939208206489.

$$0.93301270189221934897939208206489+0.25881904510252074^{2}$$

Calculate 0.25881904510252074 to the power of 2 and get 0.0669872981077806650494971021301476.

$$0.93301270189221934897939208206489+0.0669872981077806650494971021301476$$

Add 0.93301270189221934897939208206489 and 0.0669872981077806650494971021301476 to get 1.0000000000000000140288891841950376.

$$1.0000000000000000140288891841950376$$