Trigonometry
Inverse Trigonometric Functions
MCQ (Single Correct Answer)Subjective
1
WB JEE 2025
MCQ (Single Correct Answer)
+1
-0.25

If $\cos ^{-1} \alpha+\cos ^{-1} \beta+\cos ^{-1} \gamma=3 \pi$, then $\alpha(\beta+\gamma)+\beta(\gamma+\alpha)+\gamma(\alpha+\beta)$ is equal to

A
0
B
1
C
6
D
12
2
WB JEE 2025
MCQ (Single Correct Answer)
+2
-0.5

The number of solutions of $\sin ^{-1} x+\sin ^{-1}(1-x)=\cos ^{-1} x$ is

A
0
B
1
C
2
D
4
3
WB JEE 2021
MCQ (Single Correct Answer)
+1
-0.25
For $$y = {\sin ^{ - 1}}\left\{ {{{5x + 12\sqrt {1 - {x^2}} } \over {13}}} \right\};\left| x \right| \le 1$$, if $$a(1 - {x^2}){y_2} + bx{y_1} = 0$$ then (a, b) =
A
(2, 1)
B
(1, $$-$$1)
C
($$-$$1, 1)
D
(1, 2)
4
WB JEE 2018
MCQ (Single Correct Answer)
+1
-0.25
If $$0 \le A \le {\pi \over 4}$$, then $${\tan ^{ - 1}}\left( {{1 \over 2}\tan 2A} \right) + {\tan ^{ - 1}}(\cot A) + {\tan ^{ - 1}}({\cot ^3}A)$$
A
$${\pi \over 4}$$
B
$$\pi$$
C
0
D
$${\pi \over 2}$$
WB JEE Subjects