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Nostrana [21]
3 years ago
15

Given cosx=12/13

Mathematics
1 answer:
TiliK225 [7]3 years ago
7 0
1. You have the following information:

 Sinx=5/13

 Cosx=12/13

 2. By definiton, you have:

 Tanx=(Senx)/(Cosx)

 3. When you susbtitute Senx=5/13 and Cosx=12/13 into Tanx=(Senx)/(Cosx), you obtain:

 Tanx=(Senx)/(Cosx)
 Tanx=(5/13)/(12/13)
 Tanx=(5)(13)/(13)(12)
 Tanx=65/156

 4. Therefore, the answer is;

 Tanx=65/156
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Step-by-step explanation:

The complete question is

Water flows into a tank according to the rate F(t)= (t+6)/(1+t), and at the same time empties out at the rate E(t)= (ln(t+2))/(t+1), with both F(t) and E(t) measured in gallons per minute. How much water, to the nearest galllon, is in the tank at time t=10 minutes.

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