Math, asked by Sissharth7168, 10 months ago

8 cot square A - 8 cosec square A is equal to​

Answers

Answered by kiransurya721
3

Answer: -8

Step-by-step explanation:

8 cot² - 8 cosec²

= 8(cot²-cosec²)

=>[cot²-cosec²= -1]

Substitute the valu of cot²-cosec²

=8(-1)

= -8

Answered by amitnrw
3

8 Cot²A  - 8Cosec²A = -8

Step-by-step explanation:

8 Cot²A  - 8Cosec²A

CotA = CosA/SinA

CosecA = 1/SinA

= 8 ( CosA/SinA)² - 8(1/Sin²A)

= 8Cos²A/Sin²A  - 8/Sin²A

= (8/Sin²A) ( Cos²A -  1)

1 = Cos²A + Sin²A

= (8/Sin²A) ( Cos²A -  ( Cos²A + Sin²A))

= (8/Sin²A) ( Cos²A -  Cos²A - Sin²A)

= (8/Sin²A) (  - Sin²A)

=  8 ( - 1)

= - 8

8 Cot²A  - 8Cosec²A = -8

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