Question

8 cot square A - 8 cosec square A is equal to
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Answer 1

Trigonometry

Solution for your above question is as under :-

  8 cot ² A - 8 cosec² A

= 8( cot² A - cosec² A) ............... Eq. (1)

Now, we all know that

 1 + cot²θ = cosec²θ

=> cot²θ - cosec²θ = - 1

Substitute this value in Eq. (1)

Equation becomes :-

8( cot² A - cosec² A)

= 8( - 1 )

$\boxed{= - 8 }$

Answer 2

8 cot²A - 8 cosec²A = - 8

Step-by-step explanation:

Now, 8 cot²A - 8 cosec²A

= 8 (cot²A - cosec²A)

= 8 {- (cosec²A - cot²A)}

= 8 {- 1}, since cosec²A - cot²A = 1

= - 8

Therefore, 8 cot²A - 8 cosec²A = - 8

Trigonometry: Trigonometry is the study of angles and relations between angles and their sin, cos, tan, cosec, sec, cot ratios. There are many formulae for calculations:

• sin²A + cos²A = 1

• sec²A - tan²A = 1

• cosec²A - cot²A = 1

• sin2A = 2 sinA cosA

• cos2A = cos²A - sin²A

• tan2A = 2 tanA / (1 - tan²A)

Related problem:

Evaluate 8/cot square theta -8 /cos square theta. - https://brainly.in/question/15000728