if tan theta × ___ = sin theta then ___ =?
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Step-by-step explanation:
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Step-by-step explanation:
Given :-
Tan θ × _____ = Sin θ
To find:-
If tan theta × ___ = sin theta then ___ =?
Solution:-
Given that
Tan θ × _____ = Sin θ
=> Sin θ/ Cos θ × Cos θ = Sin θ
Therefore, ______ = Cos θ
or
Let the unknown quantity be X
=> Tan θ × _____ = Sin θ
=> Tan θ× X = Sin θ
=> X = Sin θ/ Tan θ
We know that
Tan θ = Sin θ/Cos θ
=> X = Sin θ/ (Sin θ/Cos θ)
=> X = Sin θ× Cos θ/ Sin θ
=> X = Cos θ
The answer = Cos θ
Answer:-
Answer for the given problem is Cos θ
Used formula:-
- Tan θ = Sin θ/Cos θ
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