Question
Find sin2x,cos2x and tan2x If cosx=-(3)/(sqrt (10)) and x terminates in quadrant II. sin2x=(3)/(5) cos2x=(4)/(5) tan2x=(3)/(4)
Solution
4.1
(315 Votos)
Getúlio
Profissional · Tutor por 6 anos
Resposta
To find
,
, and
given that
and
terminates in quadrant II, we can use the double-angle formulas for sine, cosine, and tangent.First, let's find
. Since
is in quadrant II,
will be positive. We can use the Pythagorean identity
to find
:
Now, let's find
,
, and
using the double-angle formulas:1.
2.
3.
Therefore, the correct values are: