Question

(C) Prove the identity:
tan 0 + seco
tan 0-seco
X Хcosec 0 + coto
cosec 0 - cote
= 2(tan o cosec 0 - cot 0 sec )
​

Answer 1

Answer:

LHS =1+cotA−cosecA=1+

sinA

cosA

−

sinA

1

=

sinA

(sinA+cosA−1)

1+tanA+secA=1+

cosA

sinA

+

cosA

1

=

cosA

(sinA+cosA+1)

(1+cotA−cosecA)(1+tanA+secA)

=

sinAcosA

(sinA+cosA−1)(sinA+cosA+1)

=

sinAcosA

(sinA+cosA)

2

−1

=

sinAcosA

1+2sinAcosA−1

=2=RHS

Hence Proved

Step-by-step explanation:

answer =2Rhd