Question

Cos 50 cos 5 +sin 50 sin 5​

Answer 1

Ответ:

Cos(50-5)

Cos(45)

Answer 2

The expression you've given, Cos(50) Cos(5) + Sin(50) Sin(5), is the result of applying the trigonometric identity for the cosine of the sum of two angles, which is commonly known as the angle addition formula or the cosine of the difference formula:

Cos(A + B) = Cos(A)Cos(B) - Sin(A)Sin(B)

In your expression, A = 50 degrees and B = 5 degrees. So, plugging in these values into the formula:

Cos(50) Cos(5) + Sin(50) Sin(5) = Cos(50 + 5)

Now, calculate the sum inside the cosine function:

50 + 5 = 55 degrees

So, the expression simplifies to:

Cos(55)

Now, you can calculate the cosine of 55 degrees:

Cos(55) ≈ 0.5736 (rounded to four decimal places)

So, the value of the expression Cos(50) Cos(5) + Sin(50) Sin(5) is approximately 0.5736.