यदि $7 \tan \theta=4$ हो, तो $\frac{(7 \sin \theta-3 \cos \theta)}{(7 \sin \theta+3 \cos \theta)}$ का मान ज्ञात करें।
35 views
2 Votes
2 Votes

यदि $7 \tan \theta=4$ हो, तो $\frac{(7 \sin \theta-3 \cos \theta)}{(7 \sin \theta+3 \cos \theta)}$ का मान ज्ञात करें।

1 Answer

0 Votes
0 Votes
 
Best answer

Solution : $\therefore$ जोड़ने पर, $A B^{2}+C D^{2}=B D^{2}+A C^{2}$.

$\frac{7 \sin \theta-3 \cos \theta}{7 \sin \theta+3 \cos \theta}=\frac{7 \tan \theta-3}{7 \tan \theta+3}$ [अंश और हर में $\cos \theta$ से भाग देने पर] 

$=\frac{7 \times \frac{4}{7}-3}{7 \times \frac{4}{7}+3} \quad\left[\because 7 \tan \theta=4 ; \quad \therefore \tan \theta=\frac{4}{7}\right]$

$=\frac{1}{7} .$

Edited by

RELATED DOUBTS

1 Answer
1 Vote
1 Vote
26 Views
AnjaliYadav Asked Jun 24, 2022
44 views
AnjaliYadav Asked Jun 24, 2022
1 Answer
1 Vote
1 Vote
44 Views
1 Answer
2 Votes
2 Votes
22 Views
1 Answer
2 Votes
2 Votes
50 Views
1 Answer
2 Votes
2 Votes
23 Views
Peddia is an Online Question and Answer Website, That Helps You To Prepare India's All States Boards & Competitive Exams Like IIT-JEE, NEET, AIIMS, AIPMT, SSC, BANKING, BSEB, UP Board, RBSE, HPBOSE, MPBSE, CBSE & Other General Exams.
If You Have Any Query/Suggestion Regarding This Website or Post, Please Contact Us On : [email protected]

CATEGORIES