Question

Use a calculator to find a decimal approximation for the following trigonometric function.

sin 43°24' ≈

​(Simplify your answer. Type an integer or a decimal. Round to eight decimal places as​ needed.)

SHOW YOUR WORK.

Answer 1

converting
43°24' intodegrees, we get

43°24' = 43° + 24'/60 = 43.4°

putting sin(43.4)into calculator to  8 decimal places

sin(43°24') = sin(43.4) = 0.68708751

Answer 2

Answer:

$\text{sin}(43.4^{\circ})\approx 0.68708751$

Step-by-step explanation:

We are asked to evaluate the given trigonometric expression $\text{sin}(43^{\circ}24')$.

We can see that our given angle is in degrees and minutes, so we will convert measure of minutes into degrees by dividing 24 by 60 as:

$\frac{24}{60}=0.4^{\circ}$

Now, we will find the value of our given expression.

$\text{sin}(43.4^{\circ})=0.687087510804$

Round to eight decimal places:

$\text{sin}(43.4^{\circ})\approx 0.68708751$

Therefore, the value of the given expression would be $0.68708751$.