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Byju's Answer
Standard XII
Mathematics
Implicit Differentiation
if tan theta=...
Question
if tan theta=(1-cos phi)/sin phi then tan 3 theta is equal to? a)tan2 phi b)tan (3/2) phi c)tan phi d)-tan2 phi
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Similar questions
Q.
If
sin
θ
+
sin
ϕ
=
a
,
and
cos
θ
+
cos
ϕ
=
b
,
then
tan
θ
−
ϕ
2
is equal to
Q.
If
tan
2
θ
=
2
tan
2
ϕ
+
1
,
then
cos
2
θ
+
sin
2
ϕ
equals
Q.
Prove that
sin
(
θ
+
ϕ
)
−
2
sin
θ
+
sin
(
θ
−
ϕ
)
cos
(
θ
+
ϕ
)
−
2
cos
θ
+
cos
(
θ
−
ϕ
)
=
tan
θ
.
Q.
If
cos
θ
=
2
cos
ϕ
−
1
2
−
cos
ϕ
, prove that
tan
(
θ
/
2
)
=
√
3
tan
(
ϕ
/
2
)
and hence show that
sin
ϕ
=
√
3
sin
θ
2
+
cos
θ
Q.
cos 2θ cos 2Ï• + sin
2
(θ – Ï•) – sin
2
(θ + Ï•) is equal to
(a) sin 2 (θ + Ï•)
(b) cos 2 (θ + Ï•)
(c) sin 2 (θ – Ï•)
(d) cos 2 (θ – Ï•)
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