Question

prove that cos theta divided by 1 - sin theta equal to cot theta divided by cosec theta minus one ​

Answer 1

Answer:

OK let me say u how

Cosθ/1 - sinθ = cotθ/cosecθ-1

Now let me consider L. H. S

Cosθ/1 - sinθ

We know that cosθ = 1 / secθ and sinθ = 1 / cosecθ

Now we will replace it

1 / secθ / 1 - 1 / cosecθ

Now taking lcm in denominator

1 / secθ / cosecθ-1 / cosecθ

Now;

Cosecθ / secθ(cosecθ - 1)

We know that Cosecθ / secθ = cotθ

Now

Cotθ/secθ(cosecθ - 1)

Which is our R. H. S

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Step-by-step explanation: