What is the missing value to the nearest hundredth?
tan__=12
A. 85.24
B. 87.61
C. .12
D. .98
find the missing value to the nearest hundredth tan = 65
a. 76.56 b.61.56 c.47.46 d.89.12
what does tan mean
tangent
thanks!
To find the missing value for the tangent function, we need to use an inverse function called the arctangent function or tan^(-1). The arctangent function takes a ratio of the two sides of a right triangle and gives us the angle measure.
In this case, we have the tangent of an angle equal to 12, which means we have a right triangle with a side opposite the angle and a side adjacent to the angle, and their ratio is 12.
To find the angle, we use the arctangent function and set it up as an equation:
tan^(-1)(12) = x
Now, we need to use a scientific calculator or an online trigonometric calculator to find the arctangent of 12. The result is approximately 86.41 degrees.
Since the answer choices are given to the nearest hundredth, we round the angle to the nearest hundredth, which is 86.41.
Therefore, the missing value to the nearest hundredth is 86.41.
None of the given answer choices match exactly, so the closest option is A. 85.24.