Question

sin4theata=1
Can someone explain how to get this answer?

Answer 1

\(\large\color{pink}{What~is~your~question?}\)

Answer 2

\[\sin4\theta=1\]

Solve each equation over the interval 0,2pi

Answer 3

\(\large\color{pink}{What~do~you~think~the~answer~is?}\)

Answer 4

N oidea

Answer 5

Well, do you mind if I change it to sin(4x)=1?

Answer 6

hint:
\[\sin \theta = 1,\quad \theta = \frac{\pi }{2} + 2k\pi \]

Answer 7

\[\sin x = 1,\quad x = \frac{\pi }{2} + 2k\pi \]

Answer 8

so we can write:
\[4\theta = \frac{\pi }{2} + 2k\pi \]
what is theta?

Answer 9

4?

Answer 10

any ideas?

Answer 11

if you take \(\large sin^{-1}\) to both sides, first, what do you end up with?