Tan(x+pi) + 2sin(x+pi)=0

can you prove this and make the left side equal the right?

This is not an identity but an equation. You're supposed to find the values of for which this is true. It is *not* true for all values of .

To see why:

has period , which means .

The angle sum identity for says that

So

By definition of ,

and so

which is only 0 if either (which only happens for certain values of ) or (which also only happens for certain values of ). It's these values of you want to find.

whenever is a multiple of , i.e. for any integer .

If , then is true for and . Then to account for all other possible values, we add a multiple of , so that or for integers .

what is the question here

step-by-step explanation:

x² + 3x + 7 = 0       [ax² + bx + c]

a = 1

b = 3

c = 7

quadratic formula:

    (+/- is this ±)

plug in the numbers into the variables

your answer is a