Find the general solution for the following equation: sin2x+cos x=0

Hadley Poole

Hadley Poole

Answered question

2023-02-19

Find the general solution for the following equation: sin 2x + cos x = 0

Answer & Explanation

Talon Mcfarland

Talon Mcfarland

Beginner2023-02-20Added 9 answers

Solution:
sin 2 x + cos x = 0 2 sin x × cos x + cos x = 0 cos x ( 2 sin x + 1 ) = 0 x = ( 2 n + 1 ) π 2 x = ( 2 n + 1 ) π 2  or  x = n π + ( 1 ) n ( π 6 ) x = ( 2 n + 1 ) π 2  or  x = n π + ( 1 ) n + 1 ( π 6 ) x = n π + ( 1 ) n 7 π 6 x = ( 2 n + 1 ) π 2  or  x = n π + ( 1 ) n 7 π 6 , n Z

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