Math, asked by shresthanishan249, 4 days ago

Can i get a way to do this question
1-sina+cosa/sina+cosa-1=1+cosa/sina

Answers

Answered by rojalinsamal537
2

Answer:

L.H.S=

cosA+sinA−1

1−cosA+sinA

×

cosA+sinA−1

cosA+sinA−1

=

(cosA+sinA)

2

−1

cosA+sinA+1−cos

2

A−cosAsinA−cosA+sinAcosA+sin

2

A+sinA

=

cos

2

A+sin

2

A+2cosAsinA−1

1−cos

2

A+sin

2

A+2sinA

=

1+2cosAsinA−1

2sin

2

A+2sinA

=

2cosAsinA

2sinA(sinA+1)

=

cosA

(sinA+1)

=R.H.S

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