Find the solution set of the inequation in the picture.
Sandeep Kumar , 6 Years ago
Grade
Trigonometry> Find the solution set of the inequation i...
2 Answersmkmjnj
Last Activity: 6 Years ago
let’s say a= cos-1x and b= sin-1x
let us denote pi by $ due to lack of symbols;
and a+b = $/2
a2 – b2 > 0
(a+b)(a-b) > 0
($/2)(a-b)> 0
therefore we get a-b > 0
cos-1x – sin-1x > 0
cos-1x – ($/2 – cos-1x) >0
2cos-1x – $/2 > 0
cos-1x > $/4
now its quite simple to determine the solution of x
ANS: [-1, 1/root2]
mkmjnj
Last Activity: 6 Years ago
sry bro a little change in answer final ans is [-1, 1/root2 )
open bracket .
hope you have got the reason why an open bracket
this is bcoz in ques we only have greater than symbol and not greater than or equal to symbol
Provide a better Answer & Earn Cool Goodies
Enter text here...
LIVE ONLINE CLASSES
Prepraring for the competition made easy just by live online class.
Full Live Access
Study Material
Live Doubts Solving
Daily Class Assignments
Ask a Doubt
Get your questions answered by the expert for free
Enter text here...
Other Related Questions on trigonometry
In ABC, if cot A+cot B+cot C = cosecA cosecB cosecC, then prove that ABC is right angle triangle.
trigonometry
1 Answer Available
Last Activity: 2 Years ago
Find the general solution of equation tan3∂=cot2∂For all angles between -720 and +720
trigonometry
0 Answer Available
Last Activity: 2 Years ago
To prove : Cosec(45 degree - A)Cosec(45 degree + A) = 2SecA
trigonometry
0 Answer Available
Last Activity: 2 Years ago
cos^2 13ºcos^2 47º+cos^2 73º =? …..................
trigonometry
0 Answer Available
Last Activity: 2 Years ago
Derive a formula for the area of the triangle, given b, A, B, and C. That is, derive the formula: (b^2sinAsinC)/(2sinB)
trigonometry
0 Answer Available
Last Activity: 2 Years ago