1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard IX
Mathematics
Trigonometric Ratio(sin,cos,tan)
If tanθ=cos...
Question
If
tan
θ
=
cos
9
o
+
sin
9
o
cos
9
o
−
sin
9
o
then
θ
is equal to
A
18
o
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
54
o
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
9
o
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
36
o
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
A
54
o
t
a
n
θ
=
c
o
s
9
+
s
i
n
9
c
o
s
9
−
s
i
n
9
dividing by cos 9
=
1
+
t
a
n
9
1
−
t
a
n
9
t
a
n
45
=
1
=
t
a
n
45
+
t
a
n
9
1
−
t
a
n
45
+
t
a
n
9
t
a
n
(
A
+
B
)
=
t
a
n
A
+
t
a
n
B
1
−
t
a
n
A
.
T
a
n
B
=
t
a
n
(
45
+
9
)
t
a
n
θ
=
t
a
n
54
∴
θ
=
54
∘
Suggest Corrections
1
Similar questions
Q.
Show that
cos
9
o
+
sin
9
o
cos
9
o
−
sin
9
o
=
cot
36
o
Q.
What is the value of
5
sin
75
o
sin
77
o
+
2
cos
13
o
cos
15
o
cos
15
o
sin
77
o
−
7
sin
81
o
cos
9
o
Q.
If
5
sin
θ
=
3
, then
sec
θ
+
tan
θ
sec
θ
−
tan
θ
is equal to
Q.
If sec θ + tan θ = x then tan θ is equal to