Question-88029

Question Number 88029 by M±th+et£s last updated on 07/Apr/20

Answered by mind is power last updated on 08/Apr/20

- 4 {s i n}^{2} (4 x) - 8 s i n (4 x) - 9 {c o s}^{2} (4 x) + 12 c o s (4 x) - 4 + 6 s i n (8 x)

= - {(2 s i n (4 x) - 3 c o s (4 x) + 2)}^{2}

f (x) = \frac{- {(2 s i n (4 x) - 3 c o s (4 x) + 2)}^{2} + 1 + 4 - 6 c o s (4 x) + 4 s i n (4 x)}{2 s i n (4 x) - 3 c o s (4 x) + 2}

l e t Y (x) = 2 s i n (4 x) - 3 c o s (4 x) + 2

g (y) = - Y + \frac{1}{Y} + 2

g^{'} (y) = - 1 - \frac{1}{y^{2}}

y (x + \frac{π}{2}) = y (x)

2 s i n (4 x) - 3 c o s (4 x) + 2 = 0

\Rightarrow \sqrt{13} s i n (4 x - a r c s i n (\frac{2}{\sqrt{13}})) + 2 = 0

h a s s o l u t i o n m i n a n d m a x d i d n t e x i s t e

Commented by M±th+et£s last updated on 08/Apr/20

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