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Recent questions in Trigonometric Functions
Questions
>>
CBSE XI
>>
Math
>>
Trigonometric Functions
The value of
tan
3
A
−
tan
2
A
−
tan
A
is equal to
cbse
math
class11
ch3
trigonometric-functions
exemplar
q42
sec-c
difficult
asked
Apr 21, 2014
by
sreemathi.v
1
answer
If
tan
α
=
m
m
+
1
,
tan
β
=
1
2
m
+
1
,then
α
+
β
is equal to
cbse
math
class11
ch3
trigonometric-functions
exemplar
q40
sec-c
difficult
asked
Apr 21, 2014
by
sreemathi.v
1
answer
Which of the following is correct
cbse
math
class11
ch3
trigonometric-functions
exemplar
q39
sec-c
difficult
asked
Apr 21, 2014
by
sreemathi.v
0
answers
The value of
tan
75
∘
−
cot
75
∘
is equal to
cbse
math
class11
ch3
trigonometric-functions
exemplar
q38
sec-b
medium
asked
Apr 21, 2014
by
sreemathi.v
1
answer
If
tan
θ
=
3
and
θ
lies in third quadrant then the value of
sin
θ
is
cbse
math
class11
ch3
trigonometric-functions
exemplar
q37
sec-a
easy
asked
Apr 21, 2014
by
sreemathi.v
1
answer
The value of
cos
1
∘
cos
2
∘
cos
3
∘
.
.
.
.
.
.
.
cos
179
∘
is
cbse
math
class11
ch3
trigonometric-functions
exemplar
q36
sec-a
easy
asked
Apr 21, 2014
by
sreemathi.v
1
answer
The value of
1
−
tan
2
15
1
+
tan
2
15
is
cbse
math
class11
ch3
trigonometric-functions
exemplar
q35
sec-b
medium
asked
Apr 21, 2014
by
sreemathi.v
1
answer
The value of
tan
1
∘
tan
2
∘
tan
3
∘
........
tan
89
∘
is
cbse
math
class11
ch3
trigonometric-functions
exemplar
q34
sec-b
medium
asked
Apr 21, 2014
by
sreemathi.v
1
answer
If
tan
θ
=
1
2
and
tan
ϕ
=
1
3
,then the value of
θ
+
ϕ
is
cbse
math
class11
ch3
trigonometric-functions
exemplar
q32
sec-b
medium
asked
Apr 21, 2014
by
sreemathi.v
1
answer
If
f
(
x
)
=
cos
2
x
+
sec
2
x
,then
cbse
math
class11
ch3
trigonometric-functions
exemplar
q31
sec-c
difficult
asked
Apr 21, 2014
by
sreemathi.v
1
answer
If
sin
θ
+
c
o
s
e
c
θ
=
2
,then
sin
2
θ
+
c
o
s
e
c
2
θ
is equal to
cbse
math
class11
ch3
trigonometric-functions
exemplar
q30
sec-b
medium
asked
Apr 21, 2014
by
sreemathi.v
1
answer
Find the general solution of the equation
sin
x
−
3
sin
2
x
+
sin
3
x
=
cos
x
−
3
cos
2
x
+
cos
3
x
cbse
math
class11
ch3
trigonometric-functions
exemplar
q28
sec-c
difficult
asked
Apr 21, 2014
by
sreemathi.v
1
answer
Find the general solution of the equation
5
cos
2
θ
+
7
sin
2
θ
−
6
=
0
cbse
math
class11
ch3
trigonometric-functions
exemplar
q27
sec-c
difficult
asked
Apr 21, 2014
by
sreemathi.v
1
answer
Find the value of the expression :
cos
4
π
8
+
cos
4
3
π
8
+
cos
4
5
π
8
+
cos
4
7
π
8
cbse
math
class11
ch3
trigonometric-functions
exemplar
q26
sec-c
difficult
asked
Apr 21, 2014
by
sreemathi.v
1
answer
If
θ
lies in the first quadrant and
cos
θ
=
8
17
,then the value of
cos
(
30
∘
+
θ
)
+
cos
(
45
∘
−
θ
)
+
cos
(
120
∘
−
θ
)
?
cbse
math
class11
ch3
trigonometric-functions
exemplar
q25
sec-c
difficult
asked
Apr 20, 2014
by
sreemathi.v
1
answer
If
x
=
sec
ϕ
−
tan
ϕ
and
y
=
c
o
s
e
c
ϕ
+
cot
ϕ
then show that
x
y
+
x
−
y
+
1
=
0
cbse
math
class11
ch3
trigonometric-functions
exemplar
q24
sec-c
difficult
asked
Apr 20, 2014
by
sreemathi.v
1
answer
If
a
cos
2
θ
+
b
sin
2
θ
=
c
has
α
and
β
as its roots,then prove that
tan
α
+
tan
β
=
2
b
a
+
c
cbse
math
class11
ch3
trigonometric-functions
exemplar
q23
sec-c
difficult
asked
Apr 20, 2014
by
sreemathi.v
1
answer
Find the value of the expression :
3
[
sin
4
(
3
π
2
−
α
)
+
sin
4
(
3
π
+
α
)
]
−
2
[
sin
6
(
π
2
+
α
)
+
sin
6
(
5
π
−
α
)
]
cbse
math
class11
ch3
trigonometric-functions
exemplar
q22
sec-c
difficult
asked
Apr 20, 2014
by
sreemathi.v
1
answer
If
cos
(
θ
+
ϕ
)
=
m
cos
(
θ
−
ϕ
)
then prove that
tan
θ
=
1
−
m
1
+
m
cot
ϕ
cbse
math
class11
ch3
trigonometric-functions
exemplar
q21
sec-c
difficult
asked
Apr 20, 2014
by
sreemathi.v
1
answer
If
sin
(
θ
+
α
)
=
a
and
sin
(
θ
+
β
)
=
b
,then prove that
cos
2
(
α
−
β
)
−
4
a
b
cos
(
α
−
β
)
=
1
−
2
a
2
−
2
b
2
cbse
math
class11
ch3
trigonometric-functions
exemplar
q20
sec-c
difficult
asked
Apr 20, 2014
by
sreemathi.v
1
answer
If
cot
θ
+
tan
θ
=
2
c
o
s
e
c
θ
,then find the general value of
θ
cbse
math
class11
ch3
trigonometric-functions
exemplar
q17
sec-b
medium
asked
Apr 18, 2014
by
sreemathi.v
1
answer
Find the most general value of
θ
satisfying the equation
tan
θ
=
−
1
and
cos
θ
=
1
√
2
cbse
math
class11
ch3
trigonometric-functions
exemplar
q16
sec-b
medium
asked
Apr 18, 2014
by
sreemathi.v
1
answer
If
tan
θ
=
sin
α
−
cos
α
sin
α
+
cos
α
then show that
sin
α
+
cos
α
=
√
2
cos
θ
cbse
math
class11
ch3
trigonometric-functions
exemplar
q14
sec-c
difficult
asked
Apr 18, 2014
by
sreemathi.v
1
answer
If
sin
(
x
+
y
)
sin
(
x
−
y
)
=
a
+
b
a
−
b
then show that
tan
x
tan
y
=
a
b
cbse
math
class11
ch3
trigonometric-functions
exemplar
q13
sec-c
difficult
asked
Apr 18, 2014
by
sreemathi.v
1
answer
If
cos
α
+
cos
β
=
0
=
sin
α
+
sin
β
,then prove that
cos
2
α
+
cos
2
β
=
−
2
cos
(
α
+
β
)
cbse
math
class11
ch3
trigonometric-functions
exemplar
q12
sec-c
difficult
asked
Apr 18, 2014
by
sreemathi.v
1
answer
If
tan
(
A
+
B
)
=
p
and
tan
(
A
−
B
)
=
q
then show that
tan
2
A
=
p
+
q
1
−
p
q
cbse
math
class11
ch3
trigonometric-functions
exemplar
q11
sec-b
medium
asked
Apr 18, 2014
by
sreemathi.v
1
answer
If
tan
θ
+
sin
θ
=
m
and
tan
θ
−
sin
θ
=
n
then prove that
m
2
−
n
2
=
4
sin
θ
tan
θ
cbse
math
class11
ch3
trigonometric-functions
exemplar
q10
sec-c
difficult
asked
Apr 18, 2014
by
sreemathi.v
1
answer
Prove that
sin
4
A
=
4
sin
A
cos
3
A
−
4
cos
A
sin
3
A
cbse
math
class11
ch3
trigonometric-functions
exemplar
q9
sec-b
medium
asked
Apr 18, 2014
by
sreemathi.v
1
answer
Find the value of
tan
22
∘
30
′
cbse
math
class11
ch3
trigonometric-functions
exemplar
q8
sec-c
difficult
asked
Apr 18, 2014
by
sreemathi.v
1
answer
If
a
cos
θ
+
b
sin
θ
=
m
and
a
sin
θ
−
b
cos
θ
=
n
then show that
a
2
+
b
2
=
m
2
+
n
2
cbse
math
class11
ch3
trigonometric-functions
exemplar
q7
sec-b
medium
asked
Apr 18, 2014
by
sreemathi.v
1
answer
If
tan
x
=
b
a
,then find the value of
√
a
+
b
a
−
b
+
√
a
−
b
a
+
b
cbse
math
class11
ch3
trigonometric-functions
exemplar
q5
sec-c
difficult
asked
Apr 18, 2014
by
sreemathi.v
1
answer
If
cos
(
α
+
β
)
=
4
5
and
sin
(
α
−
β
)
=
5
13
where
α
lies between
0
and
π
4
,find the value of
tan
2
α
cbse
math
class11
ch3
trigonometric-functions
exemplar
q4
sec-c
difficult
asked
Apr 18, 2014
by
sreemathi.v
1
answer
If
m
sin
θ
=
n
sin
(
θ
+
2
α
)
,then prove that
tan
(
θ
+
α
)
cot
α
=
m
+
n
m
−
n
cbse
math
class11
ch3
trigonometric-functions
exemplar
q3
sec-c
difficult
asked
Apr 18, 2014
by
sreemathi.v
1
answer
If
2
sin
α
1
+
cos
α
+
sin
α
=
y
,then prove that
1
−
cos
α
+
sin
α
1
+
sin
α
is equal to
y
cbse
math
class11
ch3
trigonometric-functions
exemplar
q2
sec-c
difficult
asked
Apr 18, 2014
by
sreemathi.v
1
answer
Prove that
tan
A
+
sec
A
−
1
tan
A
−
sec
A
+
1
=
1
+
sin
A
cos
A
cbse
math
class11
ch3
trigonometric-functions
exemplar
q1
sec-c
difficult
asked
Apr 18, 2014
by
sreemathi.v
1
answer
Find
sin
x
2
,
cos
x
2
and
tan
x
2
when
cos
x
=
−
1
3
.
x
in quadrant III
cbse
math
class11
ch3
trigonometric-functions
bookproblem
misc
q9
sec-c
difficult
asked
Apr 18, 2014
by
sreemathi.v
1
answer
Find
sin
x
2
,
cos
x
2
and
tan
x
2
when
tan
x
=
−
4
3
,
x
in quadrant II
cbse
math
class11
ch3
trigonometric-functions
bookproblem
misc
q8
sec-c
difficult
asked
Apr 18, 2014
by
sreemathi.v
1
answer
Evaluate
sin
3
x
+
sin
2
x
−
sin
x
=
4
sin
x
cos
x
2
cos
3
x
2
cbse
math
class11
ch3
trigonometric-functions
bookproblem
misc
q7
sec-b
medium
asked
Apr 18, 2014
by
sreemathi.v
1
answer
Prove that
(
sin
7
x
+
sin
5
x
)
+
(
sin
9
x
+
sin
3
x
)
(
cos
7
x
+
cos
5
x
)
+
(
cos
9
x
+
cos
3
x
)
=
tan
6
x
cbse
math
class11
ch3
trigonometric-functions
bookproblem
misc
q6
sec-b
medium
asked
Apr 18, 2014
by
sreemathi.v
1
answer
Evaluate
sin
x
+
sin
3
x
+
sin
5
x
+
sin
7
x
cbse
math
class11
ch3
trigonometric-functions
bookproblem
misc
q5
sec-b
medium
asked
Apr 18, 2014
by
sreemathi.v
1
answer
Prove that
(
cos
x
−
cos
y
)
2
+
(
sin
x
−
sin
y
)
2
=
4
sin
2
x
−
y
2
cbse
math
class11
ch3
trigonometric-functions
bookproblem
misc
q4
sec-b
medium
asked
Apr 18, 2014
by
sreemathi.v
1
answer
Evaluate:
(
cos
x
+
cos
y
)
2
+
(
sin
x
−
sin
y
)
2
cbse
math
class11
ch3
trigonometric-functions
bookproblem
misc
q3
sec-b
medium
asked
Apr 18, 2014
by
sreemathi.v
1
answer
Prove that
(
sin
3
x
+
sin
x
)
sin
x
+
(
cos
3
x
−
cos
x
)
cos
x
=
0
cbse
math
class11
ch3
trigonometric-functions
bookproblem
misc
q2
sec-b
medium
asked
Apr 18, 2014
by
sreemathi.v
1
answer
Evaluate:
2
cos
π
13
cos
9
π
13
+
cos
3
π
13
+
cos
5
π
13
cbse
math
class11
ch3
trigonometric-functions
bookproblem
misc
q1
sec-b
medium
asked
Apr 18, 2014
by
sreemathi.v
1
answer
Find the general solution for the equation
sin
x
+
sin
3
x
+
sin
5
x
=
0
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-4
q9
sec-b
medium
asked
Apr 18, 2014
by
sreemathi.v
1
answer
Find the general solution for each of the following equation
sec
2
2
x
=
1
−
tan
2
x
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-4
q8
sec-b
medium
asked
Apr 18, 2014
by
sreemathi.v
1
answer
Find the general solution for the equation
sin
2
x
+
cos
x
=
0
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-4
q7
sec-b
medium
asked
Apr 18, 2014
by
sreemathi.v
1
answer
Find the general solution for the equation
cos
3
x
+
cos
x
−
cos
2
x
=
0
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-4
q6
sec-b
medium
asked
Apr 18, 2014
by
sreemathi.v
1
answer
Find the general solution for each of the following equation
cos
4
x
=
cos
2
x
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-4
q5
sec-b
medium
asked
Apr 18, 2014
by
sreemathi.v
1
answer
Find the principal and general solution for the equation
c
o
s
e
c
x
=
−
2
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-4
q4
sec-c
difficult
asked
Apr 17, 2014
by
sreemathi.v
1
answer
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