(vii) (डंप है न ८0860 3])*+ (८05 A +sec A)*= 7 + tan*

1.	(vii) (डंप है न ८0860 3])+ (८05 A +sec A)= 7 + tan* A + cot A
Answer» (sinA+cosecA)²+(cosA+secA)² =sin²A+cosec²A+2sinAcosecA+cos²A+sec²A+2cosAsecA =sin²A+cos²A+cosec²A+sec²A+2sinA×1/sinA+2cosA×1/cosA =1+cosec²A+sec²A+2+2 =5+(1+cot²A)+(1+tan²A) =7+tan²A+cot²A Identities used:1+tan²A=sec²A 1+cot²A=cosec²A sin²A+cos²A=1 cosecA=1/sinA secA=1/cosA i dont understand first step

(vii) (डंप है न ८0860 3])+ (८05 A +sec A)= 7 + tan* A + cot A

Answer»

(sinA+cosecA)²+(cosA+secA)²

=sin²A+cosec²A+2sinAcosecA+cos²A+sec²A+2cosAsecA

=sin²A+cos²A+cosec²A+sec²A+2sinA×1/sinA+2cosA×1/cosA

=1+cosec²A+sec²A+2+2

=5+(1+cot²A)+(1+tan²A)

=7+tan²A+cot²A

Identities used:1+tan²A=sec²A

1+cot²A=cosec²A

sin²A+cos²A=1

cosecA=1/sinA

secA=1/cosA

i dont understand first step