Question

Find all solutions of the equation:
2 sin (2A) +1

Answer 1

looks the equation is missing o.o

Answer 2

Whoops..There's "= 0" @ the end..

Answer 3

2sin(2A) + 1 = 0

Answer 4

subtract 1 both sides
then divide 2

Answer 5

Umm..How would i do that?? I don't really understand..

Answer 6

2sin(2A) + 1 = 0
- 1 -1

Answer 7

2sin(2A) = -1

Answer 8

2sin(2A) = -1
/2 /2

Answer 9

sin(2A) = -1/2

Answer 10

Ohh.....Ok..That makes sense:D Now I can use your example for my other similar problems..Thank you:D

Answer 11

wait wait, we're not done yet

Answer 12

this is trigonometry problem, right ?

Answer 13

Yes.

Answer 14

we need to solve the unknown angle A

Answer 15

\(\large \sin(2A) = -1/2\)

\(\large 2A = \arcsin (-1/2)\)

Answer 16

So, what would I do?? Multiply??

Answer 17

the answer is bit more complicated than that

Answer 18

if you're curious for what the final answer might looks like :

\(\large A = \dfrac{7\pi}{12} + n\pi, ~\dfrac{11\pi}{12} + n\pi\)

Answer 19

Wow. I would never even would have thought about that..

Answer 20

sorry for weird looking expressions... but thats the final answer... we need to work a bit more to digest them ^

Answer 21

Ok.