The smallest positive value of \( x \) (in radians) satisfying the equation \( \log _{\cos x}\le...
The smallest positive value of \( x \) (in radians) satisfying the equation \( \log _{\cos x}\left(\frac{\sqrt{3}}{2} \sin x\right)=2-\log _{\sec x}(\tan x) \) is
(a) \( \frac{\pi}{12} \)
(b) \( \frac{\pi}{6} \)
(c) \( \frac{\pi}{4} \)
(d) \( \frac{\pi}{4} \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
2023-06-19 | If the equation \( p \sin \theta+\cos 2 \theta=2 p-7 \) possesses a solution, then find the valu... |
2023-06-19 | Which of the following set of value of \( x \) satisfies the equation \( 2^{\left(3 \sin ^{2} ... |
2023-06-19 | Number of solution satisfying the equation, \( \tan ^{2} 2 x=2 \tan \) \( 2 x \cdot \tan 3 x+1 \... |
2023-06-19 | If \( 4 \sin ^{2} x-8 \sin x+3 \leq 0,0 \leq x \leq \pi \), then find the solution set for \( x \). |
2023-06-19 | The value of \( x \), between 0 and \( 2 \pi \), satisfying the equation \( \cos 3 x+\cos 2 x=\s... |
2023-06-19 | Let \( 2 \sin x+3 \cos y=3 \) and \( 3 \sin y+2 \cos x=4 \) then
(a) \( x+y=(4 n+1) \pi / 2, n \... |
2023-06-19 | Number of roots of \( |\sin | x||=x+|x| \forall x \in[-2 \pi, 2 \pi] \) is (a) 0 (b) 1 (c) 2 (d) 3 |
2023-06-19 | Suppose \( a, b0 \) and \( \log _{9}(a)=\log _{12}(b)=\log _{16}(a+b) \) and \( \frac{b}{a}=2 \s... |
2023-06-19 | If \( \alpha, \beta, \gamma, \delta \) are the smallest positive angles in ascending order of ma... |
2023-06-19 | Number of degrees in the smallest positive angle \( x \) such that \( 8 \sin x \cos ^{5} x-8 \si... |
2023-06-19 | The smallest positive value of \( x \) (in radians) satisfying the equation \( \log _{\cos x}\le... |
2023-06-19 | \( \cos 2 x-3 \cos x+1=\frac{1}{(\cot 2 x-\cot x) \sin (x-\pi)} \) holds, if
(a) \( \cos x=0 \)
... |
2023-06-19 | If \( x \in(0, \pi) \) and \( \sin x \cdot \cos ^{3} x\cos x \cdot \sin ^{3} x \), then complete... |
2023-06-19 | Number of solutions of \( \sum_{r=1}^{5} \cos r x=5 \) in the interval \( [0,4 \pi] \) is:
(a) 0... |
2023-06-19 | The solution of the equation \( \log _{\cos x^{2}}(3-2 x)\log _{\cos x^{2}}(2 x-1) \) is
(a) \( ... |
2023-06-19 | The number of solutions of \( [\sin x+\cos x]=3+[-\sin x]+ \) \( [-\cos x] \) (where \( [ \).\( ... |
2023-06-19 | Total number of solutions of \( \sin x \simeq \frac{|x|}{10} \) is equal to
(a) 4
(b) 6
(c) 7
(d... |
2023-06-19 | The general solution of the equation \( \tan ^{2}(x+y)+\cot ^{2} \) \( (x+y)=1-2 x-x^{2} \) lie ... |
2023-06-19 | If \( |k|=5 \) and \( 0^{\circ} \leq \theta \leq 360^{\circ} \), then the number of different so... |
2023-06-19 | Let \( 2 \sin ^{2} x+3 \sin x-20 \) and \( x^{2}-x-20(x \) is measured in radian). Then \( x \)... |
2023-06-19 | The general solution of the equation \( \sin ^{100} x-\cos ^{100} x=1 \) is (where \( n \in I \)... |