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Mnenie [13.5K]
3 years ago
8

General solution of x if 2cosx=3tanx

Mathematics
1 answer:
Mamont248 [21]3 years ago
6 0

Answer:

sin

2

xsecx+

3

tanx=0

⇒

cosx

sin

2

x

+

3

tanx=0

⇒sinxtanx+

3

tanx=0

⇒tanx(sinx+

3

)=0

⇒tanx=0 or sinx+

3

=0

⇒tanx=0 or sinx



=−

3

∵rangeofsinx∈[−1,1]

∴tanx=0

∴x=nπ

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                3            
                1
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              x  42
               -------
                1282
              1564
          ----------------
                       
the answer would be 16380
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