8 cot square A - 8 cosec square A is equal to
Answers
Answered by
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
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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