Q. 16

# If x = sin14

We know the range of sin x is

-1≤ sin x ≤ 1

0≤ sin14x ≤ 1

We know the range of cos x is

-1≤ cos x ≤ 1

0≤ cos20x ≤ 1

0< sin14x + cos20x≤2

which means that the value of x lies in the interval [0,2]

But there's a problem, when sine is 0 cosine is 1, they might even be 0 and -1 at particular points (not in this case, since they are even powers), so the minimum we would get should be more than 0. Hence the value of x lies in (0,1]

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
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
RELATED QUESTIONS :

Find the values oRD Sharma - Mathematics

Prove that :
<
RD Sharma - Mathematics

The value of sin Mathematics - Exemplar

The value of <spaMathematics - Exemplar

If <span lang="ENMathematics - Exemplar

If <span lang="ENMathematics - Exemplar

Fill in the blankMathematics - Exemplar

Fill in the blankMathematics - Exemplar

If 12 sin x – 9 sRD Sharma - Mathematics

Write the intervaRD Sharma - Mathematics