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Inessa05 [86]
2 years ago
10

Find general solution of 3sinx=2tanx​

Mathematics
1 answer:
AveGali [126]2 years ago
6 0

Step-by-step explanation:

remember, tan = sin/cos.

of course, one solution is x = 0. sin(0) = 0, tan(0)=0).

for the general solution we look at x <> 0.

3×sin(x) = 2×tan(x) = 2×sin(x)/cos(x)

3 = 2/cos(x)

3×cos(x) = 2

cos(x) = 2/3

x = 48.1896851...°

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Graph the linear equations. Find three points that solve the equation -3x + 2y= 2
fredd [130]

Answer:

(0,1) , (2,4) , (4,7)

Explanation:

convert the equation into slope-intercept form (this would be y=3/2x+1)

now plug in random numbers for x and solve for y by multiplying them by 3/2 and adding 1.

7 0
2 years ago
DUE IN 10 MINSSSS ILL GIVE BRAINLYEST!!!!
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2 years ago
Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds a
kirill115 [55]

Answer:

12 feet per second.

Step-by-step explanation:

Please consider the complete question.

Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds after she jumps for the bone can be representedh(t)=-16t^2+20t.

What is Spot's average rate of ascent, in feet per second, from the time she jumps into the air to the time she catches the bone at t=1/2?  

We will use average rate of change formula to solve our given problem.

\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}

\text{Average rate of change}=\frac{h(\frac{1}{2})-h(0)}{\frac{1}{2}-0}

\text{Average rate of change}=\frac{-16\cdot(\frac{1}{2})^2+20\cdot \frac{1}{2}-(-16\cdot(0)^2+20\cdot (0))}{\frac{1}{2}-0}

\text{Average rate of change}=\frac{-16\cdot\frac{1}{4}+10-(0)}{\frac{1}{2}}

\text{Average rate of change}=\frac{-4+10}{\frac{1}{2}}

\text{Average rate of change}=\frac{6}{\frac{1}{2}}

\text{Average rate of change}=\frac{2\cdot 6}{1}

\text{Average rate of change}=12

Therefore, Spot's average rate of ascent is 12 feet per second.

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astra-53 [7]
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