If 4 sin x. cos y + 2 sinx + 2 cos y + 1 = 0 where x,y € [0,21] find the largest possible value
of the sum (x + y).
s
Answers
Answered by
0
Step-by-step explanation:
:
Factor
4
sin
x
cos
x
+
2
sin
x
−
2
cos
x
−
1
=
0
as
(
2
sin
(
x
)
−
1
)
(
2
cos
(
x
)
+
1
)
=
0
then solve the two terms using standard trig values.
2
sin
(
x
)
−
1
=
0
→
sin
(
x
)
=
1
2
→
x
=
30
o
or
x
=
150
o
or
2
cos
(
x
)
+
1
=
0
→
cos
(
x
)
=
−
1
2
→
x
=
120
o
or
x
=
240
o
Answered by
0
Step-by-step explanation:
If
sin x/sin y = 1/2 , cos x/cos y = 3/2
where
x,y ∈ (0'π/2),
then the value of
tan(x+y),
is equal to
Similar questions