Question

Sin10°+2sin5°cos15°+cos50​°

Answer 1

sin10°+2sin5°cos15°+cos50°=sin10°+sin(5°-15°)+sin(5°+15°)+cos50°=sin10°-sin10°+sin20°+cos50°=cos(90°-20°)+cos50°=cos70°+cos50°=2cos(70°+50°):2*cos(70° * 50°):2=2cos60°cos10°=cos10°

Ответ:Cos10°

Answer 2

To calculate the value of the expression, we'll use trigonometric identities and the knowledge that sine and cosine values for certain angles:

sin 10° ≈ 0.1745 sin 5° ≈ 0.08716 cos 15° ≈ 0.96593 cos 50° ≈ 0.64279

Now, let's calculate the expression:

sin 10° + 2sin 5°cos 15° + cos 50°

= 0.1745 + 2(0.08716)(0.96593) + 0.64279

= 0.1745 + 0.16802 + 0.64279

= 0.98531

Therefore, sin 10° + 2sin 5°cos 15° + cos 50° is approximately 0.98531.