Question

Sin26°×cos14°+cos26°×sin14°

Answer 1

Sin26°Cos14° + Cos26°Sin14° = Sin(26° + 14°) = Sin40°

Answer 2

To evaluate the expression Sin(26°) × Cos(14°) + Cos(26°) × Sin(14°), you can use trigonometric identities. Specifically, you can use the sum-to-product identities.

1. Sin(a) × Cos(b) + Cos(a) × Sin(b) = Sin(a + b)

Let's use this identity to solve the expression:

Sin(26°) × Cos(14°) + Cos(26°) × Sin(14°) = Sin(26° + 14°)

Now, add the angles:

Sin(26° + 14°) = Sin(40°)

Sin(40°) is the final result, but if you need the numerical value, you can use a calculator:

Sin(40°) ≈ 0.64279

So, Sin(26°) × Cos(14°) + Cos(26°) × Sin(14°) ≈ 0.64279.