Question
If Theta =(pi )/(6) find the exact value of each expresslo (a) sin2Theta = (b) sin(-Theta )= square (c) sin^2Theta =
Solution
4.5
(300 Votos)
Nara
Especialista · Tutor por 3 anos
Resposta
(a) To find the exact value of
, we can use the double-angle formula for sine, which states that
. Given that
, we can substitute this value into the formula:
We know that
and
.Substituting these values, we get:
Simplifying, we have:
Therefore, the exact value of
is
.(b) To find the exact value of
, we can use the property of states
.Given that
, we can substitute this value into the formula:
We know that
.Substituting this value, we get:
Therefore, the exact value of
is
.(c) To find the exact value of
, we can square the value of
.Given that
, we can substitute this value into the formula:
We know that
.Substituting this value, we get:
Simplifying, we have:
Therefore, the exact value of
is
.