sin-x-sin-pi-6-gt-0-x-

Question Number 208377 by hardmath last updated on 14/Jun/24

\sin x - \sin \frac{π}{6} > 0

x = ?

Commented by hardmath last updated on 14/Jun/24

Solve the inequality

Answered by lepuissantcedricjunior last updated on 14/Jun/24

x e s t d e f i n i e d a n s q u o i!

R o u] - 2 π; 2 π]

Answered by mr W last updated on 14/Jun/24

\sin x > \sin \frac{π}{6}

\Rightarrow 2 k π + \frac{π}{6} < x < (2 k + 1) π - \frac{π}{6}

Commented by hardmath last updated on 14/Jun/24

thankyou dear professor

\frac{π}{6} + 2 π k and \frac{5 π}{6} + 2 π k ?

Commented by mr W last updated on 14/Jun/24

i s t h i s n o t t h e s a m e a s i s a i d ?

\frac{5 π}{6} = π - \frac{π}{6}!

Commented by hardmath last updated on 14/Jun/24

Dear professor,

k = 0 \Rightarrow π - \frac{π}{6} = \frac{5 π}{6} ?

Commented by mr W last updated on 14/Jun/24

y e s

Commented by hardmath last updated on 14/Jun/24

thankyou dear professor