Math, asked by siddhimohite765, 3 months ago

if tan theta × ___ = sin theta then ___ =?​

Answers

Answered by seemashah7750
1

Step-by-step explanation:

by by hlo

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Answered by tennetiraj86
4

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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