Solve (cospi/12)^2+cospi/12sin(pi/12-pi/6)

$$( \cos \frac { \pi } { 12 } ) ^ { 2 } + \cos \frac { \pi } { 12 } \sin ( \frac { \pi } { 12 } - \frac { \pi } { 6 } )$$

Evaluate

$$0.683012701892219367137351846038348$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.9659258262890683 ^ {2} + 0.9659258262890683 \cdot -0.25881904510252074$$

Calculate 0.9659258262890683 to the power of 2 and get 0.93301270189221934897939208206489.

$$0.93301270189221934897939208206489+0.9659258262890683\left(-0.25881904510252074\right)$$

Multiply 0.9659258262890683 and -0.25881904510252074 to get -0.249999999999999981842040236026542.

$$0.93301270189221934897939208206489-0.249999999999999981842040236026542$$

Subtract 0.249999999999999981842040236026542 from 0.93301270189221934897939208206489 to get 0.683012701892219367137351846038348.

$$0.683012701892219367137351846038348$$