Question

if sinx = -3/5 and x is in quadrant 3, then tan2x= ___
a. 24/7
b. 12/7
c. -24/7
d-12/7

Answer 1

\[\sin x = (\frac{ opp }{ hyp })\]
This tells you that your sides are of length: 3, 4, and 5.

\[\cos(x) = -4/5\]\[\tan(x) = \frac{ \sin(x) }{ \cos(x) } =(-3/5)/(-4/5) = 3/4\]

Tan 2x is a double-angle formula.

\[\tan(2x) = 2\tan(x)/(1-\tan ^{2}(x))\]\[(2(3/4))/ (1-(3/4)^{2}) = (1.5/0.4375) = 3.43\]

Answer 2

Otherwise known as (24/7) or part A.

Answer 3

ty for giving me the wrong answer

Answer 4

That doesn't make sense. It should be right.

Answer 5

well..its not

Answer 6

Are you sure you didn't mean x is in quadrant 2?

Answer 7

Because if x is in quadrant 2, then the answer changes.

Answer 8

im sure :/