>
Exams
>
Mathematics
>
Trigonometric Identities
>
let tan aa 1 and tan 12a 1 then is
Question:
Let
tan
α
=
a
a
+
1
and
tan
β
=
1
2
a
+
1
then
α
+
β
is
WBJEE
Updated On:
Feb 15, 2024
(A) π/4
(B) π/3
(C) π/2
(D) π
Hide Solution
Verified By Collegedunia
The Correct Option is
A
Solution and Explanation
Explanation:
tan
α
=
a
a
+
1
,
tan
β
=
1
2
a
+
1
tan
(
α
+
β
)
=
a
a
+
1
+
1
2
a
+
1
1
−
a
(
a
+
1
)
(
2
a
+
1
)
=
a
(
2
a
+
1
)
+
a
+
1
(
a
+
1
)
(
2
a
+
1
)
(
a
+
1
)
(
2
a
+
1
)
−
a
(
a
+
1
)
(
2
a
+
1
)
=
2
a
2
+
2
a
+
1
2
a
2
+
2
a
+
1
=
1
α
+
β
=
π
4
Download Solution in PDF
Was this answer helpful?
0
0
Top Questions on Trigonometric Identities
The number of solutions of the equation $4 \cos 2\theta \cos 3\theta = \sec \theta$ in the interval $[0, 2\pi]$ is
AP EAPCET - 2025
Mathematics
Trigonometric Identities
View Solution
Given the equation: \[ 81 \sin^2 x + 81 \cos^2 x = 30 \] Find the value of \( x \)
.
MHT CET - 2025
Mathematics
Trigonometric Identities
View Solution
The value of \( (\sin 70^\circ)(\cot 10^\circ \cot 70^\circ - 1) \) is:
JEE Main - 2025
Mathematics
Trigonometric Identities
View Solution
If $ \tan \theta + \cot \theta = 4 $, then find the value of $ \tan^3 \theta + \cot^3 \theta $.
BITSAT - 2025
Mathematics
Trigonometric Identities
View Solution
If sin θ + cos θ = √2, what is the value of sin θ · cos θ?
JEECUP - 2025
Mathematics
Trigonometric Identities
View Solution
View More Questions
Questions Asked in WBJEE exam
Which logic gate is represented by the following combination of logic gates?
WBJEE - 2025
Logic gates
View Solution
If \( {}^9P_3 + 5 \cdot {}^9P_4 = {}^{10}P_r \), then the value of \( 'r' \) is:
WBJEE - 2025
permutations and combinations
View Solution
If \( 0 \leq a, b \leq 3 \) and the equation \( x^2 + 4 + 3\cos(ax + b) = 2x \) has real solutions, then the value of \( (a + b) \) is:
WBJEE - 2025
Trigonometric Equations
View Solution
Let \( f(\theta) = \begin{vmatrix} 1 & \cos \theta & -1 \\ -\sin \theta & 1 & -\cos \theta \\ -1 & \sin \theta & 1 \end{vmatrix} \). Suppose \( A \) and \( B \) are respectively the maximum and minimum values of \( f(\theta) \). Then \( (A, B) \) is equal to:
WBJEE - 2025
Matrix
View Solution
If \( a, b, c \) are in A.P. and if the equations \( (b - c)x^2 + (c - a)x + (a - b) = 0 \) and \( 2(c + a)x^2 + (b + c)x = 0 \) have a common root, then
WBJEE - 2025
Quadratic Equations
View Solution
View More Questions