Prove that: 
tan^2 A/ (tanA -1) + cotA /(1 - tanA) = 1 + secA.cosecA

Answer:


Here, we have the question and we are solving it in terms of tan. So, we will change cotA into 1/tanA

And we will apply the basic Mathematics to solve the question. we will take the LCM and then open up the formula of
a³- b³ = (a-b) (a² +ab +b²)

Trigonometric identity used:
Sec² A - tan²A = 1

Check the above image to visualize the answer.

#SciPiTutor
#TrigonometricIdentities
#Trigonometry
#Mathematics