190k views
4 votes
Prove this
sinx/cosecx-cotx = 1+cosx

User Apramc
by
8.5k points

1 Answer

6 votes

Answer:

= sin x

1

cos

x

(

1

+

cos

x

1

+

cos

x

)

-multiply by the conjugate

=

sin

x

+

sin

x

cos

x

1

cos

2

x

-distribute

=

sin

x

sin

2

x

+

sin

x

cos

x

sin

2

x

-use property

sin

2

x

+

cos

2

x

=

1

=

1

sin

x

+

cos

x

sin

x

-simply

=

csc

x

+

cot

x

=

Right Hand Side

Explanation:

User JBernardo
by
7.9k points

Related questions

asked Mar 21, 2024 102k views
Christian Schnorr asked Mar 21, 2024
by Christian Schnorr
8.4k points
1 answer
3 votes
102k views
asked Mar 26, 2021 31.8k views
Binzi Cao asked Mar 26, 2021
by Binzi Cao
8.9k points
1 answer
2 votes
31.8k views
asked Dec 6, 2018 162k views
Rik Lewis asked Dec 6, 2018
by Rik Lewis
8.0k points
1 answer
4 votes
162k views