Q. 21

# Mark the correct alternative in the following:The function f : R → R is defined by f(x) = cos2 x + sin4 x. Then, f(R) =A. [3/4, 1)B. (3/4, 1]C. [3/4, 1]D. (3/4, 1)

f(x)=sin4 x+1-sin2 x

Minimum value of f(x)=3/4

0≤sin2 x1

So, maximum value of

=1

R(f)=[3/4, 1]

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Trigonometric Functions - 0568 mins
Trigonometric Functions - 0152 mins
Conditional Identities31 mins
Trigonometric Functions - 0658 mins
Questions Discussion of Biomolecules48 mins
Let's Play the Game of Inequalities52 mins
Trigonometric Functions - 0366 mins
Trigonometric Functions - 0865 mins
Trigonometric Functions - 0760 mins
Master Solving Problems of trigonometry45 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses