tan45+sin60=(sin30+cos30)

1+�ã3/2=(1/2+�ã3/2)
How do i work it from her?

What you have written is an invalid equation. If you are trying to prove an identity, it can't be done.

Since sin60 = cos30 = (sqrt3)/2 ,
you are basically trying to prove that
1 = 1/2, which is never true

To solve the equation tan45 + sin60 = sin30 + cos30, we will simplify both sides step by step.

First, let's calculate the values of tan45 and sin60:

tan45 = 1 (since tan45 = 1)
sin60 = √3/2 (since sin60 = √3/2)

Now, let's simplify the left side of the equation:

tan45 + sin60 = 1 + √3/2

Next, let's calculate the values of sin30 and cos30:

sin30 = 1/2 (since sin30 = 1/2)
cos30 = √3/2 (since cos30 = √3/2)

Finally, let's simplify the right side of the equation:

sin30 + cos30 = 1/2 + √3/2

Now, we can compare the two sides of the equation:

1 + √3/2 = 1/2 + √3/2

Since the left side is equal to the right side, we can conclude that the equation is true.

Therefore, the equation tan45 + sin60 = sin30 + cos30 holds.