Question

find (cosec sq A - 1) x tan sq​

Answer 1

Question:

Find the value of (csc²A - 1)tan²A.

Solution:

We know the Pythagorean trigonometric identity:

csc²θ - cot²θ = 1

From this, we get,

csc²θ - 1 = cot²θ

And we know,

tanθ = 1/cotθ => tan²θ = 1/cot²θ

From this, we get,

cot²θ · tan²θ = 1

So,

(csc²A - 1)tan²A

=> cot²A · tan²A

=> 1

Hence 1 is the answer. Simple!!!

Answer 2

Answer:

-1 is the answer to Ur question.

Step-by-step explanation:

(cosec²A -1 ) * tan²

We know that cosec ² A =1+ cot²A

So now the given equation becomes,

(1-cot²A-1)tan²A

= (- cot²A)tan ²A

We know that tan ² A = 1/ cot ² A and so cot²A =1/tan²A.

Hence the equation becomes,

=( -1/tan²A ) tan²A

= -1