Question

If tan theta =5/4 ,then sin theta-cos theta /sin theta + cos theta = ___________.​

Answer 1

Answer:

$\tan(thita) = \frac{ \sin(thita) }{ \cos(thitha) }$

and we have given tan(thita) = 5/4

Sin thita = 5

Cos thita = 4

then,

sin thita - cos thita = 5-4 = 1

sin thita + cos thita = 5+4 = 9

So,

$\frac{sin \: thita \: - \: cos \: thita}{sin \: thita \: + \: cos \: thita} = \frac{1}{9}$

Hence this is the answer

Thank you .

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