Question

1.sin10+cos20 2.sin20+cos10 3.cos20-sin10 4.cos10-sin20  

Answer 1

1. =0.135

2. =0.073

3. =0.952

4. =1.752

Answer 2

1.sin10+cos20=cos(пи/9)+sin(пи/18)

2.sin20+cos10=sin(пи/9)+cos(пи/18)

3.cos20-sin10=cos(пи/9)-sin(пи/18)

4.cos10-sin20=cos(пи/18)-sin(пи/9)

Answer 3

To evaluate the given expressions, we can use trigonometric identities and properties. Let's calculate each expression:

1. sin(10°) + cos(20°):

To calculate this, we need to convert the angles from degrees to radians because trigonometric functions in most programming languages typically expect radians as input. We can use the conversion formula: radians = degrees × π/180.

sin(10°) = sin(10 × π/180) cos(20°) = cos(20 × π/180)

Now we can calculate the expression:

sin(10 × π/180) + cos(20 × π/180)

2. sin(20°) + cos(10°):

Again, let's convert the angles to radians:

sin(20°) = sin(20 × π/180) cos(10°) = cos(10 × π/180)

Now we can calculate the expression:

sin(20 × π/180) + cos(10 × π/180)

3. cos(20°) - sin(10°):

Convert the angles to radians:

cos(20°) = cos(20 × π/180) sin(10°) = sin(10 × π/180)

Now we can calculate the expression:

cos(20 × π/180) - sin(10 × π/180)

4. cos(10°) - sin(20°):

Convert the angles to radians:

cos(10°) = cos(10 × π/180) sin(20°) = sin(20 × π/180)

Now we can calculate the expression:

cos(10 × π/180) - sin(20 × π/180)

Please note that the values obtained from these calculations will be approximate since they involve trigonometric functions.