Proving the identity of an equation using double angle formulas

I need to prove the following identity without using the quotient identity: sin(2x)/cos(2x) = 2tan(x)/1-tan²(x) I need to use the double angle formulas for sine and cosine

Vector projection and follow-up

The diagram attached shows a rectangular solid, two of whose vertices are A=(0,0,0) and G=(4,6,3). a) Find vector projections of AG onto the following vectors: AB, [0,1,0], [-1,0,0] and [0,0,1]. b) Find the point on AC that is closest to the midpoint of GH (The diagram is on page 21 and it is problem 6) (As you can see I do not need part A of the problem)

Simplify

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Find the slope

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True or false

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