Question

please solve this with short explanation ​

Answer 1

Step-by-step explanation:

2cot²x - 3sec²x

2(cosec²x - 1) - 3(1 + tan²x)

2cosec²x - 2 - 3 - 3tan²x

2cosec²x - 3tan²x - 5

Answer 2

As we know that,

cot²x = cosec²x - 1

and

sec²x = 1 + tan²x

Now,

= 2cot²x - 3sec²x

= 2(cosec²x - 1) - 3( 1 + tan²x)

= 2cosec²x - 2 - 3 - 3tan²x

= 2cosec²x - 3tan²x - 5