Scan to download the App
E M B I B E
Mathematics
>
Trigonometry
>
Trigonometric Ratios, Functions and Identities
>
Trigonometric Identities
Share
EASY
Earn 100
If
cosec
θ
+
sin
θ
cosec
θ
-
sin
θ
=
5
3
,
then what is the value of
sin
θ
?
57.14% students
answered this correctly
Check
Important Questions on Trigonometric Ratios, Functions and Identities
HARD
Mathematics
>
Trigonometry
>
Trigonometric Ratios, Functions and Identities
>
Trigonometric Identities
Let
f
k
x
=
1
k
sin
k
x
+
cos
k
x
where
x
∈
R
and
k
≥1
. Then
f
4
x
-
f
6
x
equals
HARD
Mathematics
>
Trigonometry
>
Trigonometric Ratios, Functions and Identities
>
Trigonometric Identities
If
x
sin
3
θ
+
y
cos
3
θ
=
sin
θ
cos
θ
and
x
sin
θ
=
y
cos
θ
, then
x
2
+
y
2
is
MEDIUM
Mathematics
>
Trigonometry
>
Trigonometric Ratios, Functions and Identities
>
Trigonometric Identities
The number of real numbers
λ
for which the equality
sin
λ
α
sin
α
-
cos
λ
α
cos
α
=
λ
-
1
,
holds for all real
α
which are not integral multiples of
π
2
is-
EASY
Mathematics
>
Trigonometry
>
Trigonometric Ratios, Functions and Identities
>
Trigonometric Identities
Let
P
=
θ
:
sin
θ
-
cos
θ
=
2
cos
θ
and
Q
=
θ
:
sin
θ
+
cos
θ
=
2
sin
θ
,
be two sets. Then
HARD
Mathematics
>
Trigonometry
>
Trigonometric Ratios, Functions and Identities
>
Trigonometric Identities
A
B
C
D
is a trapezium such that
A
B
and
C
D
are parallel and
B
C
⊥
C
D
. If
∠
A
D
B
=
θ
,
B
C
=
p
and
C
D
=
q
, then
A
B
is equal to
HARD
Mathematics
>
Trigonometry
>
Trigonometric Ratios, Functions and Identities
>
Trigonometric Identities
If
A
>
0
,
B
>
0
and
A
+
B
=
π
6
, then the minimum positive value of
tan
A
+
tan
B
is :
EASY
Mathematics
>
Trigonometry
>
Trigonometric Ratios, Functions and Identities
>
Trigonometric Identities
If an angle
A
of a
Δ
A
B
C
satisfies
5
cos
A
+
3
=
0
, then the roots of the quadratic equation
9
x
2
+
27
x
+
20
=
0
are
EASY
Mathematics
>
Trigonometry
>
Trigonometric Ratios, Functions and Identities
>
Trigonometric Identities
If
2
s
i
n
α
1
+
c
o
s
2
α
=
1
7
and
1
-
c
o
s
2
β
2
=
1
10
,
α
,
β
∈
0
,
π
2
, then
t
a
n
α
+
2
β
is equal to
HARD
Mathematics
>
Trigonometry
>
Trigonometric Ratios, Functions and Identities
>
Trigonometric Identities
If
cos
α
+
cos
β
=
3
2
and
sin
α
+
sin
β
=
1
2
and
θ
is the arithmetic mean of
α
&
β
,
then
sin
2
θ
+
cos
2
θ
is equal to:
EASY
Mathematics
>
Trigonometry
>
Trigonometric Ratios, Functions and Identities
>
Trigonometric Identities
In a
Δ
A
B
C
,
a
b
=
2
+
3
, and
∠
C
=
60
°
.
Then the ordered pair
(
∠
A
,
∠
B
)
is equal to:
HARD
Mathematics
>
Trigonometry
>
Trigonometric Ratios, Functions and Identities
>
Trigonometric Identities
The value of
sec
-
1
1
4
∑
k
=
0
10
sec
7
π
12
+
k
π
2
sec
7
π
12
+
k
+
1
π
2
in the interval
-
π
4
,
3
π
4
equals
HARD
Mathematics
>
Trigonometry
>
Trigonometric Ratios, Functions and Identities
>
Trigonometric Identities
If
s
i
n
4
α
+
4
c
o
s
4
β
+
2
=
4
2
s
i
n
α
c
o
s
β
,
α
,
β
∈
0
,
π
, then
c
o
s
α
+
β
-
c
o
s
α
-
β
is equal to
EASY
Mathematics
>
Trigonometry
>
Trigonometric Ratios, Functions and Identities
>
Trigonometric Identities
The value of
s
i
n
10
°
s
i
n
30
°
s
i
n
50
°
s
i
n
70
°
is:
MEDIUM
Mathematics
>
Trigonometry
>
Trigonometric Ratios, Functions and Identities
>
Trigonometric Identities
If
cosec
θ
=
p
+
q
p
-
q
p
≠
q
,
p
≠
0
,
then
cot
π
4
+
θ
2
is equals to:
EASY
Mathematics
>
Trigonometry
>
Trigonometric Ratios, Functions and Identities
>
Trigonometric Identities
If
c
o
s
α
+
β
=
3
5
,
sin
(
α
-
β
)
=
5
13
and
0
<
α
,
β
<
π
4
,
then
tan
2
α
is equal to:
EASY
Mathematics
>
Trigonometry
>
Trigonometric Ratios, Functions and Identities
>
Trigonometric Identities
The equation
y
=
sin
x
·
sin
x
+
2
-
sin
2
(
x
+
1
)
represents a straight line lying in:
MEDIUM
Mathematics
>
Trigonometry
>
Trigonometric Ratios, Functions and Identities
>
Trigonometric Identities
The value of
cos
2
10
°
–
cos
10
°
cos
50
°
+
c
o
s
2
50
°
is
HARD
Mathematics
>
Trigonometry
>
Trigonometric Ratios, Functions and Identities
>
Trigonometric Identities
The integer part of the number
∑
k
=
0
44
1
cosk
°
cos
k
+
1
°
is
sin
1
°
=
0
.
0174524
MEDIUM
Mathematics
>
Trigonometry
>
Trigonometric Ratios, Functions and Identities
>
Trigonometric Identities
The expression
tanA
1
-
cotA
+
cotA
1
-
tanA
can be written as :
HARD
Mathematics
>
Trigonometry
>
Trigonometric Ratios, Functions and Identities
>
Trigonometric Identities
The value of
∑
k
=
1
13
1
sin
π
4
+
k
-
1
π
6
sin
π
4
+
k
π
6
is equal to