Question

Cos76cos16 + sin76sin16​

Answer 1

Cos76⁰Cos16⁰ + Sin76⁰Sin16⁰ = Cos (76⁰ - 16⁰) = Cos60⁰ = 0,5

Answer 2

To simplify the expression cos(76)cos(16) + sin(76)sin(16), you can use the trigonometric identity known as the cosine of the difference of angles:

cos(A - B) = cos(A)cos(B) + sin(A)sin(B)

In this case, A = 76 and B = 16, so the expression becomes:

cos(76 - 16)

Now, calculate the difference of the angles:

76 - 16 = 60

Now, the expression becomes:

cos(60)

The cosine of 60 degrees is 1/2.

So, cos(76)cos(16) + sin(76)sin(16) simplifies to:

1/2