Question

If cosec theta + cot theta=1/5 then find sin theta, cos theta

Answer 1

Here is your answer ✌!

Let theta be €.

cosec € + cot € = 1/5. ( eq'n i )

We know, cosec² € - cot² € = 1

we get, cosec € - cot € = 5. ( eq'n ii )

Add eq'n (i) and (ii)

2 cosec € = 5 + 1/5

cosec € = 26/5 × 2

1/sin € = 52/5

sin € = 5/52

We know, sin ² € + cos ² € = 1

we get, cos € = 1 - 25/2704

cos € = 51.75/52

Hope it's help you ✌!

Answer 2

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