Question

Cos (П/4)+cos( П/12)

Answer 1

Ответ:

$\frac{3 \sqrt{2} + \sqrt{6} }{4 }$

Answer 2

Корень2/2+cos(П/4-П/6)
Корень2/2+cos(п/4)соs(п/6)+ sin(п/4)sin(п/6)
Корень2/2+корень2/2+корень3/2+корень2/2*1/2
Корень2/2+корень6/4+корень/2/4
3корень2/4+корень6/4
Ответ:3корень2+корень6/4

Answer 3

To evaluate the expression cos(π/4) + cos(π/12), we can use the trigonometric identities and the decimal approximation of π.

First, let's convert the angles from radians to degrees: π/4 radians is equal to (π/4) * (180/π) degrees, which simplifies to 45 degrees. π/12 radians is equal to (π/12) * (180/π) degrees, which simplifies to 15 degrees.

Now we can calculate the cosine values using the angles in degrees: cos(45°) ≈ 0.70710678118 (rounded to 11 decimal places) cos(15°) ≈ 0.96592582628 (rounded to 11 decimal places)

Finally, we can add the cosine values: 0.70710678118 + 0.96592582628 ≈ 1.67303260746 (rounded to 11 decimal places)

Therefore, cos(π/4) + cos(π/12) is approximately equal to 1.67303260746.