Question

2 sin п/6+2cosп/6-tgп/3

Answer 1

2sin30°+2cos30°-tg60°=
2*1/2+2*√3/2-√3 (двойки сокращаются)=1+√3-√3=1

Answer 2

To solve this expression, we can use trigonometric identities to simplify each term.

Recall the following trigonometric identities:

• sin(π/6) = 1/2
• cos(π/6) = √3/2
• tan(π/3) = √3

Substituting these values into the expression, we get:

2 sin(π/6) + 2 cos(π/6) - tan(π/3) = 2 (1/2) + 2 (√3/2) - √3 (using the trigonometric identities) = 1 + √3 - √3 (simplifying) = 1 (simplifying)

Therefore, the value of the expression is 1.