The-maximum-value-of-the-expression-sin-2-x-2a-2-2a-2-1-cos-2-x-where-a-and-x-real-numbers-is-

Question Number 171593 by cortano1 last updated on 18/Jun/22

T h e m a x i m u m v a l u e o f t h e

e x p r e s s i o n ∣ \sqrt{\sin^{2} x + 2 a^{2}} - \sqrt{2 a^{2} - 1 - \cos^{2} x} ∣

w h e r e a a n d x r e a l n u m b e r s i s - - -

Commented by infinityaction last updated on 18/Jun/22

f o r m a x i m u m v a l u e

2 a^{2} - 1 - \cos^{2} x = 0

\cos^{2} = 2 a^{2} - 1

1 - \sin^{2} x = 2 a^{2} - 1

\sin^{2} x + 2 a^{2} = 2

s o

∣ \sqrt{2} - 0 ∣ = \sqrt{2} (m a x i m u m v a l u e)

Commented by cortano1 last updated on 18/Jun/22

y e s \dots