Simplify Without using calculator or table:3cos30°+cos60°.?

To simplify this expression, we can use the trigonometric identities:

cos(30°) = √3/2
cos(60°) = 1/2

Therefore, the expression becomes:

3(√3/2) + 1/2
= 3√3/2 + 1/2
= (3√3 + 1)/2

So, 3cos(30°) + cos(60°) simplifies to (3√3 + 1)/2.

$$=3cos30° cos60°$$
Now using the fromulae
$$=3(√3/2)(1/2)$$
$$=3√3/4$$