Question

prove that sin a + 1 + cos a sin a minus 1 + cos a sec a cosec a equals to 2​

Answer 1

Answer:

ANSWER

L.H.S. =

sinA

1+cosA

+

1+cosA

sinA

=

sinA(1+cosA)

(1+cosA)(1+cosA)+sinAsinA

=

(1+cosA)sinA

(1+cosA)

2

+sin

2

A

=

(1+cosA)sinA

1+cos

2

A+2cosA+sin

2

A

=

(1+cosA)sinA

1+2cosA+1

=

(1+cosA)sinA

2+2cosA

=

(1+cosA)sinA

2(1+cosA)

=2

sinA

1

=2cosecA

=R.H.S

Hence proved.