Asked by dat
How many solutions does the equation cos(x) + cos(−x) = 0 have if 0 < x < 2pi?
(Radian measure is assumed for x.)
(A) infinitely many (B) 1 (C) 2 (D) 3 (E) None of the above.
(Radian measure is assumed for x.)
(A) infinitely many (B) 1 (C) 2 (D) 3 (E) None of the above.
Answers
Answered by
Reiny
Since cos(-x) = cos(x) for all x
cosx + cos(-x) = 0
2cosx = 0
cosx = 0
x = π/2 or x = 3π/2 (90° and 270°)
cosx + cos(-x) = 0
2cosx = 0
cosx = 0
x = π/2 or x = 3π/2 (90° and 270°)
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.