Question

How to solve for General Solutions ( sin2x=cosx )

Answer 1

hint :
sin 2x = 2sin x cos x.

Answer 2

How did you know that from? IDs?

Answer 3

yup.

Answer 4

wait which ID is that

Answer 5

double angle ID

Answer 6

oh rightt

Answer 7

I got x=pi/2,3pi/2,5pi/6,pi/6

Answer 8

wow, you know how to get it...thats correct but its in the range of 0 to 2pi only.

Answer 9

._.

Answer 10

general solution....means all....in terms of n....right ?

Answer 11

ah yes, then you must add/subtract integer multiples of the period (2pi) to each

Answer 12

alright so what would the formula be

Answer 13

for the first:

\[x = \frac{\pi}{2} \pm 2k\pi\]

k being any integer

similar for the rest