CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

Which of the following is the solution set of the equation $$\displaystyle 2 \cos^{-1} \left ( x \right ) = \cot^{-1} \left ( \frac{2x^{2} - 1}{2x\sqrt{1-x^{2}}} \right )$$?


A
(0,1)
loader
B
(1,1){0}
loader
C
(1,0)
loader
D
[1,1]
loader

Solution

The correct option is A $$\displaystyle \left ( 0, \: 1 \right )$$
$$2cos^{ -1 }\left( x \right) =cos^{ -1 }\left( 2x^{ 2 }-1 \right) $$ for $$x\epsilon \left[ 0,1 \right] $$
$$\Rightarrow cos^{ -1 }\left( 2x^{ 2 }-1 \right) =cot^{ -1 }\left( \cfrac { 2x^{ 2 }-1 }{ 2x\sqrt { 1-x^{ 2 } }  }  \right) $$ for $$x\epsilon \left( 0,1 \right) $$

Mathematics

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image