Question

(cos^2 A - 1)(cot^2 A+1)+1=??
answer fast plzzz​

Answer 1

Answer:

-sec^2 A

Step-by-step explanation:

sin^2 A+cos^2 A=1

Using this we get (cos ^2 A -1) = -sin^2 A

change cot^2 A as cos^2 A/ sin^2 A

now, -sin^2 A×cos^2 A/sin^2 A+1

-sin^2 A× cos^2 A +sin^2 A/cos^2 A sin^2 A

= - [1/cos^2 A]

= - sec^2 A