Question

Sin2x/1+cos2x=4 find all exact values of x or to nearest degree

Answer 1

which do you actually mean,

1) sin 2x / 1 + cos 2x =4, or

2) (sin 2x) / (1 + cos 2x) = 4 ?

Those parentheses can make a huge difference in communication your intent accurately.

Answer 2

Well it probably should be 2. No one wound write sin 2x/1 :)

Answer 3

Better yet, consider using Equation Editor (below):\[\frac{ \sin 2x }{ 1+ \cos 2x }=4\]

Answer 4

With this in mind, consider the double angle formulas for the sine and cosine.
Hint: sin 2x = sin (x+x) = sin x cos x + cos x sin x = ??

Can you write a similar formula for cos 2x?

Answer 5

\[\frac{ 2\sin x \cos x }{ 1 + formula~for~\cos 2x }=4\]