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Solve the Following Equation cos2x+cosx=0\cos ^ { 2 } x + \cos x = 0

Question 32

Multiple Choice

Solve the following equation.​ cos2x+cosx=0\cos ^ { 2 } x + \cos x = 0


A) ​ x=3π4+nπ and x=5π4+nπx = \frac { 3 \pi } { 4 } + n \pi \text { and } x = \frac { 5 \pi } { 4 } + n \pi ,where n is an integer
B) ​ x=π+2nπ and x=π2+nπx = \pi + 2 n \pi \text { and } x = \frac { \pi } { 2 } + n \pi ,where n is an integer
C) ​ x=3π4+2nπ and x=5π4+2nπx = \frac { 3 \pi } { 4 } + 2 n \pi \text { and } x = \frac { 5 \pi } { 4 } + 2 n \pi ,where n is an integer
D) ​ x=nπ and x=3π2+nπx = n \pi \text { and } x = \frac { 3 \pi } { 2 } + n \pi ,where n is an integer
E) ​ x=π+nπ and x=π2+2nπx = \pi + n \pi \text { and } x = \frac { \pi } { 2 } + 2 n \pi ,where n is an integer

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