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omeli [17]
3 years ago
12

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

Mathematics
1 answer:
NISA [10]3 years ago
8 0

Answer:

7

Step-by-step explanation:

Using the trigonometric identity

• 1 + cot²x = cosec²x, then

2(cosec²Θ + cosec²Θ - 1 )

= 2(2cosec²Θ - 1)

= 4cosec²Θ - 2

= 4 × (\frac{3}{2} )² - 2

= 4 × \frac{9}{4} - 2

= 9 - 2

= 7

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