Respuesta :

Answer:

7

Step-by-step explanation:

Using the trigonometric identity

• 1 + cot²x = cosec²x, then

2(cosec²Θ + cosec²Θ - 1 )

= 2(2cosec²Θ - 1)

= 4cosec²Θ - 2

= 4 × ([tex]\frac{3}{2}[/tex] )² - 2

= 4 × [tex]\frac{9}{4}[/tex] - 2

= 9 - 2

= 7