Question

Find all solutions to the equation csc x(2cosx + square root 2)=0

A. x=3pi/4+ 2k(pi) and 7pi/4, where k is any positive integer
B. x = 3pi/4+2k(pi) and 5pi/4 , where k is any positive integer
C. x = 3pi/4+2k(pi) , where k is any positive integer
D. x = 5pi/4+2k(pi) , where k is any positive integer

Answer 1

someone please help

Answer 2

http://www.wolframalpha.com/input/?i=csc+x%282cosx+%2B+square+root+2%29%3D0+ see if got any help

Answer 3

nope:/

Answer 4

csc x = 0
1/(sin x) = 0 (multiply by sinx)
1 = 0... no solution

2cosx + √2 = 0
2cos x = -√2
cosx = -√(2)/2... take the arccosine
x = 135˚ or 225˚

so the solutions are 135˚, 225˚ plus any integer multiple of 360˚

Answer 5

in The eqn either coecc x = 0 or cozos x = -1/sqr root of 2 you can solve the graph to see that cos x attains those values at 3pi/4 and 5pi/4
So the correct answer is the second

Answer 6

thank you:)

Answer 7

codec x does not attain 0 value