1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Trigonometric Ratios of Compound Angles
If tan3 x+30∘...
Question
If tan (3x + 30°) = 1 then x = ?
(a) 20
(b) 15°
(c) 10°
(d) 5°
Open in App
Solution
As we know that,
tan
45
°
=
1
Thus
,
if
tan
3
x
+
30
°
=
1
⇒
3
x
+
30
°
=
45
°
⇒
3
x
=
45
°
-
30
°
⇒
3
x
=
15
°
⇒
x
=
5
°
Hence
,
the
correct
option
is
d
.
Suggest Corrections
3
Similar questions
Q.
If 2 cos 3
θ
= 1 then
θ
= ?
(a)
10
o
(b)
15
o
(c)
20
o
(d)
30
o
Q.
If 2cos 3θ = 1, then θ = ?
(a) 10°
(b) 15°
(c) 20°
(d) 30°
Q.
If
tan
(
3
x
+
30
)
=
1
then find the value of
x
.
Q.
If
x
3
+
1
x
3
=
110
, then
x
+
1
x
=
(a) 5
(b) 10
(c) 15
(d) none of these