If cosec 0 + cot 0 = k then find the value of cos in terms of k. plz answer this question with step by step
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Given :
cosecθ + cotθ = k
To find :
The value of cos in terms of k.
Step-by-step explanation:
- We know that,
,
- By substituting this in the given equation,
- By taking the LCM,
- By cross multiplying,
θ =
θ
- By squaring on both sides,
θ
=
θ
- We know that,
θ =
θ
θ can be written as
θ
θ
- By substituting these values in the above equation,
θ
=
θ
θ
- By cancelling out the common terms,
θ
=
θ
- Take
inside,
θ
=
θ
- By taking
θ to the other side,
θ
θ=
- Take 1 to the other side,
θ
θ=
- Take cosθ as common,
θ
=
- Keep cosθ on the same side,
θ=
Final answer :
The value of cosθ is .
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