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4sin theta =3 cos theta find …

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4sin theta =3 cos theta find the value of 12 sin theta -7 cos theta/8 sin theta +3 cos theta

Posted by Yashvi Aggarwal 7 years, 10 months ago

CBSE > Class 10 > Mathematics

1 answers

Sahdev Sharma 7 years, 10 months ago

Given : $4 sin \theta = 3 cos \theta$

=> ${sin\theta\over cos\theta }= {3\over 4}$

=> $tan \theta = {3\over 4}$

To find : ${12sin\theta - 7cos \theta\over 8 sin \theta+ 3 cos\theta}$

Divide numerator and denominator by $cos \theta$ , we get

$12 tan\theta - 7\over 8 tan \theta + 3$

= ${9-7\over 6+3}={ 2\over 9}$

0Thank You

ANSWER

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