bhavyamrinal bhavyamrinal

06-06-2019
Mathematics

contestada

if cosec theta = 3/2, then find the value of 2 ( cosec2 theta + cot2 theta )

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jimrgrant1 jimrgrant1

06-06-2019

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

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