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lyudmila [28]
3 years ago
9

Solve cot x + 2cot x * sin x = 0 for U^ <= x<=180

Mathematics
1 answer:
nekit [7.7K]3 years ago
3 0

Answer:

Step-by-step explanation:

hello :

cot x + 2cot x  sin x = 0        0≤ x≤ 180

cotx(1+2sinx) =0    means : cotx=0   or  1+2sinx=0

1)  cotx=0   so :  cosx=0  and  sinx ≠ 0   because cotx = cosx/sinx

when :  0≤ x≤ 180  : x=90°

2) 1+2sinx=0  means : sinx = -1/2

when :  0≤ x≤ 180  : no solutions because  :  sinx ≥ 0

conclusion : one solution : x=90°

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