find all solutions of trig in domain (1 Viewer)

enigma_1 · May 15, 2014

for tan3x=1/root 3

Find all solutions in domain -pi <= x<= pi

thanks

Drongoski · May 15, 2014

$- \pi \leq x \leq \pi $ is equivalent to -3\pi \leq 3x \leq 3\pi$

There are an infinite number of values of 3x that satisfy the given equation including:

$\cdots -\frac {23\pi}{6}, -\frac {17\pi}{6}, -\frac {11\pi}{6}, -\frac {5\pi}{6}, \frac {\pi}{6}, \frac {7\pi}{6}, \frac {13\pi}{6}, \frac {19\pi}{6}, \frac {25\pi}{6}, \frac {31\pi}{6} \cdots$

Therefore for the following values of x:

$\cdots -\frac {23\pi}{18}, -\frac {17\pi}{18}, -\frac {11\pi}{18}, -\frac {5\pi}{18},\frac {\pi}{18}, \frac {7\pi}{18}, \frac {13\pi}{18}, \frac {19\pi}{18}, \frac {25\pi}{18}, \frac {31\pi}{18} \cdots$

For this question, you use only 6 of the above values that are within the specified domain for x.

find all solutions of trig in domain (1 Viewer)

enigma_1

Miss Cricket

Drongoski

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find all solutions of trig in domain (1 Viewer)

enigma_1

~~~~ Miss Cricket ~~~~

Drongoski

Well-Known Member

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Miss Cricket