nishatrahman2004
nishatrahman2004 nishatrahman2004
  • 12-11-2021
  • Mathematics
contestada

Solve the following equation for 0°≤x≤360° : 2 cot 2x + 3 = 0

Respuesta :

squiggle78
squiggle78 squiggle78
  • 12-11-2021

Answer:

π

2

,

3

⋅

π

2

,

3

⋅

π

4

,

7

⋅

π

4

Explanation:

Factorizing your equation we get

cot

(

x

)

=

0

so

cos

(

x

)

=

0

we get the following Solutions in the given interval

x

=

π

72

or

x

=

3

π

2

for the second case we get

cot

(

x

)

=

−

1

so

cos

(

x

)

=

−

sin

(

x

)

and we get

x

=

3

π

4

or

x

=

7

π

4

Hint:

To get the Solutions of the last equation you can use

√

sin

(

x

+

π

4

)

=

0

Step-by-step explanation:

Answer Link

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