Hard Trigonometric Equation its possible to solve a equation like prod_(k = 0)^(45)( 1 + tan (k pi )/(180)) = [ log_((sqrt(6))/(3))| sin(2x)|]^((9)/(2) sin(2x) + 20) where I got this equation was wondering which of the intervals contained a solution of it? [0,631|0,747 [0,258|0,395] [0,412|0,627] [0,799|0,814] [0,041|0,107]

Antwan Perez

Antwan Perez

Answered question

2022-10-25

Hard Trigonometric Equation
its possible to solve a equation like
k = 0 45 ( 1 + tan k π 180 ) = [ log 6 3 | sin ( 2 x ) | ] 9 2 sin ( 2 x ) + 20
where I got this equation was wondering which of the intervals contained a solution of it?
1. [0,631|0,747]
2. [0,258|0,395]
3. [0,412|0,627]
4. [0,799|0,814]
5. [0,041|0,107]

Answer & Explanation

scapatofc

scapatofc

Beginner2022-10-26Added 12 answers

Following the link by lab you get that the product of the tan's is 2 23 if you set
9 2 sin ( 2 x ) + 20 = 23
and
log 6 3 sin ( 2 x ) = 2
you find in both cases that
sin ( 2 x ) = 2 3

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?