Math, asked by ThisIsYourFriend, 8 days ago

please answer this question immediately
it is urgent

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Answers

Answered by ackshayaa
14

Answer:

Hence the answer of thus question is 1/2

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Answered by TrustedAnswerer19
50

    \green{ \boxed{\boxed{\begin{array}{cc} \maltese  \:  \bf \: given \:,  \:  \:  \: 4 \: tan \theta = 3 \\  \\  \bf \: now \\  \\   \sf \frac{4sin\theta - cos\theta}{4sin\theta + cos\theta} \:  \:  \:  \:  \:    \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \\  \\  \sf = \frac{ 4 \frac{sin\theta}{cos\theta} -  \frac{cos\theta}{cos\theta}   }{4 \frac{sin\theta}{cos\theta} +  \frac{cos\theta}{cos\theta}  } \:  \:  \:  \:  \: \red{ \{ \sf \: divided \: by \: cos\theta \}} \\  \\  \sf =  \frac{4tan\theta - 1}{4tan\theta + 1}   \:  \:  \:  \:  \pink{\{ \because \: \: tan\theta =  \frac{sin\theta}{cos\theta}  \}} \\  \\  \sf =  \frac{3 - 1}{3 + 1}  \:  \:  \:  \: \pink{  \{ \because \:  \: 4tan\theta = 3 \}}\\  \\  =  \frac{2}{4} \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    \\  \\  =  \frac{1}{2}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \end{array}}}}

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