Find the actual value of

Cos30/sin30+cos60×tan60

this is the same as

cos30/sin30 + sin30*cot30
= cot30(1+sin30)
= √3 (1+1/2)
= 3√3/2

To find the actual value of the expression, we first simplify the expression:

cos(30) / sin(30) + cos(60) * tan(60)

1. Determine the values of trigonometric functions:
- cos(30) = √3/2
- sin(30) = 1/2
- cos(60) = 1/2
- tan(60) = √3

2. Substitute the values into the expression:
(√3/2) / (1/2) + (1/2) * √3

3. Simplify the expression:
(√3/2) * (2/1) + (√3/2) * (1/2)
(√3) + (√3/4)

4. Combine like terms:
(4√3 + √3) / 4
(5√3) / 4

Therefore, the actual value of the expression Cos30/sin30+cos60×tan60 is (5√3) / 4.