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

1 Answer

5 votes

Answer:

7

Explanation:

Using the trigonometric identity

• 1 + cot²x = cosec²x, then

2(cosec²Θ + cosec²Θ - 1 )

= 2(2cosec²Θ - 1)

= 4cosec²Θ - 2

= 4 × (
(3)/(2) )² - 2

= 4 ×
(9)/(4) - 2

= 9 - 2

= 7

User Kameika
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