Let , , , , Match the following items of Column I with Column II | Column I | Column…

MATHEMATICS · Subjective · CBSE · Mathematics · Inverse Trigonometric Functions · Inverse Trigonometric Functions

Problem

Let t1=(sin⁡−1x)sin⁡−1xt_1 = (\sin^{-1} x)^{\sin^{-1} x} , t2=(sin⁡−1x)cos⁡−1xt_2 = (\sin^{-1} x)^{\cos^{-1} x} , t3=(cos⁡−1x)sin⁡−1xt_3 = (\cos^{-1} x)^{\sin^{-1} x} , t4=(cos⁡−1x)cos⁡−1xt_4 = (\cos^{-1} x)^{\cos^{-1} x} , Match the following items of Column I with Column II
Column IColumn II
A. x∈(0,cos⁡1)x \in (0, \cos 1)(p) t1>t2>t4>t3t_1 > t_2 > t_4 > t_3
B. x∈(cos⁡1,12)x \in \left(\cos 1, \frac{1}{\sqrt{2}}\right)(q) t4>t3>t1>t2t_4 > t_3 > t_1 > t_2
C. x∈(12,sin⁡1)x \in \left(\frac{1}{\sqrt{2}}, \sin 1\right)(r) t2>t1>t4>t3t_2 > t_1 > t_4 > t_3
D. x∈(sin⁡1,1)x \in (\sin 1, 1)(s) t3>t4>t1>t2t_3 > t_4 > t_1 > t_2

Related theory

Browse the problem library