The minimum value of the function
\[
f(x)=\frac{\sin x}{\sqrt{1-\cos ^{2} x}}+\frac{\cos x}{\sqr... VIDEO
The minimum value of the function
\[
f(x)=\frac{\sin x}{\sqrt{1-\cos ^{2} x}}+\frac{\cos x}{\sqrt{1-\sin ^{2} x}}+\frac{\tan x}{\sqrt{\sec ^{2} x-1}}+\frac{\cot x}{\sqrt{\operatorname{cosec}^{2} x-1}}
\]
as \( x \) varies over all numbers in the largest possible domain of \( f(x) \) is
(a) 4
(b) -2
(c) 0
(d) 2
š²PW App Link - https://bit.ly/YTAI_PWAP
šPW Website - https://www.pw.live
Other Videos By PW Solutions 2023-06-19 The expression \( \cos 3 \theta+\sin 3 \theta+(2 \sin 2 \theta-3)(\sin \theta-\cos \theta) \) is... 2023-06-19 Express \( \cos 5 x \) in terms of \( \cos x \) and hence find general solution of the equation ... 2023-06-19 The value of \( x \) in \( (0, \pi / 2) \) satisfying \( \frac{\sqrt{3}-1}{\sin x}+\frac{\sqrt{3... 2023-06-19 If \( (\sin \alpha) x^{2}-2 x+b \geq 2 \) for all the real values of \( x \leq 1 \) and \( \alph... 2023-06-19 Let \( f(\theta)=\left(\cos \theta-\cos \frac{\pi}{8}\right)\left(\cos \theta-\cos \frac{3 \pi}{... 2023-06-19 The equations \( 2 \sin ^{2}\left(\frac{\pi}{2} \cos ^{2} x\right)=1-\cos (\pi \sin 2 x) \) is s... 2023-06-19 The inequality \( 4 \sin 3 x+5 \geq 4 \cos 2 x+5 \sin x \) is true for \( x \in \)
(a) \( \left[... 2023-06-19 The equation \( 2 \sin ^{3} \theta+(2 \lambda-3) \sin ^{2} \theta-(3 \lambda+2) \sin \theta-2 \l... 2023-06-19 If \( \cot \theta+\cot \left(\frac{\pi}{4}+\theta\right)=2 \), then the general value of \( \the... 2023-06-19 The value of t which satisfies \( (t-[|\sin x|]) !=3 ! 5 ! 7 ! \) is/are where [.] is GIF
(a) 9
... 2023-06-19 The minimum value of the function
\[
f(x)=\frac{\sin x}{\sqrt{1-\cos ^{2} x}}+\frac{\cos x}{\sqr... 2023-06-19 Solve for \( x: 3^{\sin 2 x+2 \cos ^{2} x}+3^{1-\sin 2 x+2 \sin ^{2} x}=28 \). 2023-06-19 The equation \( \cos 7 x+\cos 5 x=-2 \)
(a) Has 50 solutions in \( [0,100 \pi] \)
(b) Has 3 solu... 2023-06-19 The general solution of the equation \( \cos x \cdot \cos 6 x=-1 \), is
(a) \( x=(2 n+1) \pi, n ... 2023-06-19 Let \( [x] \) be the G.I.F., then the equation \( \sin x=[1+\sin x]+ \) \( [1-\cos x] \) has
(a)... 2023-06-19 Given that \( 3 \sin x+4 \cos x=5 \) where \( x \in(0, \pi / 2) \). Find the value of \( 2 \sin ... 2023-06-19 Let \( \alpha, \beta \) be two distinct values of \( x \) lying in \( [0, \pi] \) for which \( \... 2023-06-19 One of the general solutions of \( \sqrt{3} \cos \theta-3 \sin \theta=4 \sin 2 \theta \) \( \cos... 2023-06-19 For \( n \in Z \), the general solution of \( (\sqrt{3}-1) \sin \theta+(\sqrt{3}+1) \) \( \cos \... 2023-06-19 For \( 0\theta\frac{\pi}{2} \), the solution(s) of \( \sum_{m=1}^{6} \operatorname{cosec}\left(\... 2023-06-19 If the equation \( p \sin \theta+\cos 2 \theta=2 p-7 \) possesses a solution, then find the valu...