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if tan=5/12
Find sinx/cosx+tanx


Sagot :

Answer:

[tex] \frac{10}{12} [/tex]

Step-by-step explanation:

given,

tanX = 5/12

sinX/cosX + tanX

= tanX + tanX ( sinX/cosX = tanX)

= 5/12 + 5/12

=

[tex] \frac{10}{12} [/tex]

Step-by-step explanation:

[tex] \tan(x) = \frac{5}{12} \\ \hookrightarrow \: \frac{p}{b} = \frac{5}{12} [/tex]

As,

[tex] \hookrightarrow \: \frac{ \sin(x) }{ \cos(x) } = \tan(x) [/tex]

Now,

[tex] \hookrightarrow \: \frac{ \sin(x) }{ \cos(x) } + \tan(x) \\ \hookrightarrow \: \tan(x) + \tan(x) \\ \hookrightarrow \: \frac{5}{12} + \frac{5}{12} \\ \hookrightarrow \frac{5 + 5}{12} \\ \hookrightarrow \frac{10}{12} [/tex]