Question
(b)/(sin (12 b.3))=(45)/(sin (35))
Solution
4.2
(218 Votos)
Flavia
Profissional · Tutor por 6 anos
Resposta
To solve the equation \( \frac{b}{\sin(12b.3)} = \frac{45}{\sin(35)} \), we need to find the value of
.First, let's rewrite the equation:
To isolate
, we can cross-multiply:
Now, we need to solve for
. To, we can divide both sides of the equation by \( \sin(12b.3) \):
This equation is quite complex to solve analytically, as it involves a transcendental function. Therefore, it is best to solve it numerically using a calculator or a numerical method.Using a calculator, we can find the approximate value of
by evaluating the expression \( \frac{45 \cdot \sin(35)}{\sin(12b.3)} \) for different values of
until we find a solution that satisfies the equation.After evaluating the expression for various values of
, we find that the approximate value of
is:
Therefore, the correct answer is: