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3 years ago

Identify the correct trigonometry formula to use to solve for x.

Mathematics

2 answers:

Elan Coil [88]3 years ago

8 0

Answer:

sin(62)=18/x

Step-by-step explanation: sine = opp/hyp

frosja888 [35]3 years ago

6 0

Answer: Third option.

Step-by-step explanation:

Given the right triangle in the figure attached, you know that, for the known angle of 62 degrees, the lenght of the opposite side is 18 and the hypotenuse is "x"

Therefore, you need to remember the following identity:

$sin\alpha=\frac{opposite}{hypotenuse}$

Then, having that:

$\alpha=62\°\\opposite=18\\hypotenuse=x$

You need to substitute these values into $sin\alpha=\frac{opposite}{hypotenuse}$ , then you get that the correct trigonometry formula to use to solve for "x" is:

$sin(62\°)=\frac{18}{x}$

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Evaluate the function at the given numbers( correct to six decimal places). Use the results to guess the value of the limit or e

netineya [11]

Answer:

Value of the limit is 0.5.

Step-by-step explanation:

Given,

$F(x)=\frac{e^x-1-x}{x^2}$

When,

$x=1,F(1)=frac{e^1-1-1}{1}=e-2=0.718281$

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$x=0.1, F(0.1)=\frac{e^0.1-1-0.1}{(0.1)^2}=0.517091$

$x=0.05, F(0.05)=\frac{e^0.05-1-0.05}{(0.05)^2}=0.508438$

$x=0.01, F(0.01)=\frac{e^0.01-1-0.01}{(0.01)^2}=0.501670 \hfill (1)$

Correct upto six decimal places.

Now,

$\lim_{x\to 0}F(x)=\lim_{x\to 0}\frac{e^x-1-x}{x^2}$ $(\frac{0}{0})$ form, applying L-Hospital rule that is differentiating numerator and denominator we get,

$\lim_{x\to 0}F(x)$

$=\lim_{x\to 0}\frac{e^x-1}{2x}$ $(\frac{0}{0})$ form.

$=\lim_{x\to 0}\frac{e^x}{2}=\frac{1}{2}=0.5\hfill (2)$

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Free_Kalibri [48]

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