Question

prove that cosecA(1 - cosA ) (cosecA + cot A) =1​

Answer 1

Step-by-step explanation:

cosecA=1/sinA

1/sinA(1-cosA)(cosecA+cotA)

$\frac{1}{ \sin(a) } - \frac{ \cos \: a }{ \sin \:a } ( \csc \: a + \cot \: a)$

$csc \: a - cot \: a( \csc \: a + \cot \: a)$

(a+b)(a-b)=a²-b²

csc²A-cot²A

=1

required formulas

cscA=1/sinA

cosA/sinA=cotA

hope it helps you ☺️