Question

2sin( п/8)*cos(п/5)=​

Answer 1

Ответ:

Объяснение:

2 sin П/8 cos П/8=sin(2*П/8)=sin(П/4)=корень из 2/2

sin П/8cos П/8+1/4=1/2*sin(2*пи/8) + 1/4 = 1/2*sin(пи/4) + 1/4 = 1/2*√2/2 +1/4 = √2/4+1/4 = (√2+1)/4

Answer 2

To find the value of the expression 2sin(π/8) * cos(π/5), we can use the trigonometric identities to simplify it.

First, let's recall the values of sin(π/8) and cos(π/5):

sin(π/8) ≈ 0.3827 cos(π/5) ≈ 0.8090

Now, we can substitute these values into the expression:

2sin(π/8) * cos(π/5) ≈ 2 * 0.3827 * 0.8090

Calculating the value, we have:

≈ 0.6182

Therefore, 2sin(π/8) * cos(π/5) is approximately equal to 0.6182.