Question

CosA.CotA/1-SinA=CosecA+1​

Answer 1

Answer:

Step-by-step explanation:

HOPE YOU HAVE UNDERSTOOD..

Answer 2

Answer:

True for all values of A

Step-by-step explanation:

Here we need to use basic trigonometric formula and algebra formula

a^2-b^2=(a-b)(a+b)

Given that

$\frac{cosAcotA}{1-sinA}=cscA+1\\Taking \ LHS\\We \ get\\LHS=\frac{cosAcotA}{1-sinA}\\convert \ cotA \ = CosA/SinA\\\\We \ get\\\\LHS=\frac{cosA\cdot \frac{cosA}{sinA}}{1-sinA}\\\\simplify$$LHS=\frac{cos^2A}{\left(1-sinA\right)sinA}\\LHS=\frac{1-sin^2A}{\left(1-sinA\right)sinA}\\LHS=\frac{\left(1-sinA\right)\left(1+sinA\right)}{\left(1-sinA\right)sinA}\\LHS=\frac{\left(1+sinA\right)}{sinA}\\LHS=\frac{1}{sinA}+1\\LHS=cosecA+1=RHS$

Hence proved