3 years ago

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:

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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