Q. 95.0( 2 Votes )

# The value of 2 sin can be a +, where a is a positive number and a1.

False

Given: ‘a’ is a positive number and a≠1

AM > GM

(Arithmetic Mean (AM) of a list of non- negative real numbers is greater than or equal to the Geometric mean (GM) of the same list)

If a and b be such numbers, then

and GM = √ab

By assuming that statement is be true.

Similarly, AM and GM of a and 1/a are (a+1/a)/2 and √(a.1/a) respectively.

By property, (a+1/a)/2 > √(a.1/a)

2 sin θ > 2 (By our assumption)

sin θ > 1

But -1 ≤ sin θ ≤ 1

Our assumption is wrong and that 2 sin θ cannot be equal to

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Goprep Genius Quiz | Redox Reactions and its Applications35 mins
Trigonometric Identities44 mins
Champ Quiz | Trigger on Trigonometry47 mins
Trick to learn all Trigonometric Formulae28 mins
NCERT | Trigonometric Identities52 mins
Champ Quiz | Trigonometry Important Questions33 mins
Solving NCERT Questions on Trigonometric Identities56 mins
Indicators and its Types44 mins
Champ Quiz | Ecosystem and its components42 mins
Carbon And its Uniqueness26 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