Originally posted by: DrPizza
Sorry if that sounds harsh, but it's the truth. If you're in pre-calculus, and have the textbook in front of you, yet can't figure out
given sin (pi/2-x)=2/7 find cos x
find all the solutions in the interval [0,2pie): csc x - 2 = 0
then you're in a world of trouble.
For the first problem, it's one of the identities. There's nothing to do. The answer is 2/7
sin(pi/2-x) EQUALS cos x
For the second problem, if you don't see that
cscx = 2
sin x = 1/2
(and what angles between 0 and 2pi have a sin value of 1/2? Hint: sin is positive in the 1st and 2nd quadrant. There are 2 answers.)
then you're in a world of trouble.