Answer:
−π
----
4
Step-by-step explanation:
Alright, archtan /
tan
−
1
(
x
)
is the inverse of tangent. Tan is
sin
cos
. Like the inverse of sin, the inverse of tan is also restricted to quadrants 1 and 4.
Knowing this we are solving for the inverse of tan -1. We are basically being asked the question what angle/radian does tan(-1) equal. Using the unit circle we can see that tan(1)= pi/4.
Since the "Odds and Evens Identity" states that tan(-x) = -tan(x). Tan(-1)= -pi/4.
Knowing that tan is negative in quadrants 2 and 4. the answer is in either of those two quadrants. BUT!!! since inverse of tan is restricted to quadrants 1 and 4 we are left with the only answer -pi/4.
Answer:
6%
Step-by-step explanation:
Decrease in value = 125 000 - 117 500
= 7500
Percentage decrease = (7500 ÷ 125 000) × 100
= 6%
Answer:
integration is reverse process of differentiation or derivative
Step-by-step explanation:
for example derivative of x^2 is 2x and integral of 2x is x^2
Answer:
3.57 miles
Step-by-step explanation:
Please consider the attachment.
We have been given that a campsite is 12.88 miles from a point directly below Mt. Adams. The angle of elevation is 15.5° from the camp to the top of the mountain. We are asked to find the height of the mountain.
We can see from the attachment that h is opposite side to angle 15.5 degrees and 12.88 miles in adjacent side.
We know that tangent relates opposite side of right triangle with its adjacent side.
Therefore, the mountain is approximately 3.57 miles high.
