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WARRIOR [948]
3 years ago
15

given sin a = .29 find the angle a in degrees. round your answer to the nearest hundredth. 16.86° 15.86° 14.86° 13.86°

Mathematics
2 answers:
Tema [17]3 years ago
7 0

Answer:

16.86°

Step-by-step explanation:

Given the value for sin(a) = 0.29, we need to find the angle, in this case, a, whose sin(a) = 0.29.

In other words, we need to find <em>the inverse function</em> for the function in question.

In this case, the inverse function of <em>sin(x)</em> is <em>arcsin(x) </em>(which is also commonly known as \\ sin^{-1}(x)).

So, for \\ sin(a) = 0.29, we can find the function \\ sin^{-1}(x) in a digital calculator, or asking WolframAlpha in Internet, so we have that \\ sin^{-1}(0.29)=16.86 degrees (°).

In fact, we can check this result for a = 16.86°:\\ sin(16.86) = 0.29.

In other words, we found that 16.86° is the <em>angle in degrees</em> whose \\ sin(16.86) = 0.29.

<u>One word of caution</u>: we need to be careful about if we are using <em>degrees</em>  (known for this symbol ° ) or <em>radians</em> when calculating <em>angles</em>.

In the past, people were used to consult large tables with values for \\ sin(x), cos(x), tan(x) and so on, and looking for the <em>angle</em> that generated such a value of \\ sin(x), cos(x), tan(x), respectively.

There are many other cases in which we have inverse functions, for example, logartithm is the inverse function of exponential function.

LenaWriter [7]3 years ago
4 0
Given that sin a = .29 then the angle a in degrees is 16.86<span />
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