Question

(1-tan theta ) ka all square +(1-cot theta )ka all square =(sec theta -cosec theta )ka all square

Answer 1

Answer:

(1 - tanA)^2 + (1 + cotA)^2 = (secA - cosecA) ^2

by L.H.S :

(1 - tanA)^2 + (1 + cotA)^2

1^2 - tan^2 A + 1^2 + cot^2 A

(1 - tan^2 A) + (1 + cot^2 A)

(1 - sec^2 A - 1) + (1 + cosec^2A -1)

(1-1-sec^2A) + (1-1+cosec^2A)

(- sec^2A) + ( cosec^2A)

( cosec^2A - sec^2A) = R.H.S

hence proved