The set of all real values λ for which the function f x = 1 - cos 2 x .   λ + sin   x ,   xε   - π 2 ,   π 2 , has exactly one maxima and exactly one minima, is :

Question

The set of all real values &#955; for which the function f x = 1 - cos 2 x . &#160; &#955; + sin &#160; x , &#160; x&#949; &#160; - &#960; 2 , &#160; &#960; 2 , has exactly one maxima and exactly one minima, is :

Aicharya · Accepted Answer

f x = sin 2 x &#955; + sin x f ' x = sin x cos x 2 &#955; + 3 sin x sin x = 0 (one point) sin x = - 2 &#955; 3 &#8712; - 1 , 1 - 0 .....(1) &#955; &#8712; - 3 2 , 3 2 - 0

The set of all real values λ for which the function f x = 1 - cos 2 x .   λ + sin   x ,…

Solution

The set of all real values &#955; for which the function f x = 1 - cos 2 x . &#160; &#955; + sin &#160; x ,…

Solution

The set of all real values λ for which the function f x = 1 - cos 2 x . λ + sin x ,…