Question

1)sin40*+sin80* 2)cos13*- cos125* 3)cos130*+cos40*​

Answer 1

1)√3•cos(20°)

2)cos(85°)•√2

3)0,00113899

Answer 2

To calculate the values of the trigonometric expressions, we need to clarify whether the angles are in degrees or radians. Since trigonometric functions typically operate on radians, I will assume that the angles are in degrees and then convert them to radians for the calculations.

1. sin(40°) + sin(80°):

First, convert the angles to radians: sin(40°) = sin(40° * π / 180) ≈ 0.6428 sin(80°) = sin(80° * π / 180) ≈ 0.9848

Now, perform the addition: sin(40°) + sin(80°) ≈ 0.6428 + 0.9848 ≈ 1.6276

2. cos(13°) - cos(125°):

Convert the angles to radians: cos(13°) = cos(13° * π / 180) ≈ 0.9744 cos(125°) = cos(125° * π / 180) ≈ -0.5736

Now, perform the subtraction: cos(13°) - cos(125°) ≈ 0.9744 - (-0.5736) ≈ 1.5480

3. cos(130°) + cos(40°):

Convert the angles to radians: cos(130°) = cos(130° * π / 180) ≈ -0.6428 cos(40°) = cos(40° * π / 180) ≈ 0.7660

Now, perform the addition: cos(130°) + cos(40°) ≈ -0.6428 + 0.7660 ≈ 0.1232

Please note that the values are approximated to four decimal places.