Math, asked by chdagar123, 2 months ago

if y=sinx+cosx /sinx-cosx then find dy/dx​

Answers

Answered by reshma903375
0

Answer:

Given

sin

x

+

sin

2

x

=

1

sin

x

=

1

sin

2

x

sin

x

=

cos

2

x

sin

2

x

=

cos

4

x

1

cos

2

x

=

cos

4

x

cos

2

x

+

cos

4

x

=

1

...

...

[

1

]

Again

sin

x

+

sin

2

x

=

1

sin

x

sin

2

x

+

sin

2

x

sin

2

x

=

1

sin

2

x

csc

x

+

1

=

csc

2

x

csc

x

=

csc

2

x

1

csc

x

=

cot

2

x

csc

2

x

=

cot

4

x

1

+

cot

2

x

=

cot

4

x

cot

4

x

cot

2

x

=

1

...

...

.

.

[

2

]

Adding [1] and [2]

we get

cos

2

x

+

cos

4

x

+

cot

4

x

cot

2

x

=

1

+

1

=

2

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