First, let's convert all angles to radians.
80° = 80(π/180) = 4π/40° = 40(π/180) = 2π/9
Now we can calculate the value of cos80° and sin40°
cos(80°) = cos(4π/9) ≈ 0.173sin(40°) = sin(2π/9) ≈ 0.3420
Now substitute these values back into the expression:
cos80°÷(cos40°+sin40°) = 0.1736 / (0.1736 + 0.3420= 0.1736 / 0.515≈ 0.3367
Therefore, the value of cos80°÷(cos40°+sin40°) is approximately 0.3367.
First, let's convert all angles to radians.
80° = 80(π/180) = 4π/
40° = 40(π/180) = 2π/9
Now we can calculate the value of cos80° and sin40°
cos(80°) = cos(4π/9) ≈ 0.173
sin(40°) = sin(2π/9) ≈ 0.3420
Now substitute these values back into the expression:
cos80°÷(cos40°+sin40°) = 0.1736 / (0.1736 + 0.3420
= 0.1736 / 0.515
≈ 0.3367
Therefore, the value of cos80°÷(cos40°+sin40°) is approximately 0.3367.