The tangent is the ratio of sine over cosine; also, in a unit circle, Y over X.
-3 + ln(x) = 5 ln(x) = 8 eln(x) = e8 x = e8 x =~ 2981
A tangent function is a trigonometric function that describes the ratio of the side opposite a given angle in a right triangle to the side adjacent to that angle. In other words, it describes the slope of a line tangent to a point on a unit circle. The graph of a tangent function is a periodic wave that oscillates between positive and negative values. To sketch a tangent function, we can start by plotting points on a coordinate plane. The x-axis represents the angle in radians, and the y-axis represents the value of the tangent function. The period of the function is 2Ο radians, so we can plot points every 2Ο units on the x-axis. The graph of the tangent function is asymptotic to the x-axis. It oscillates between positive and negative values, crossing the x-axis at Ο/2 and 3Ο/2 radians. The graph reaches its maximum value of 1 at Ο/4 and 7Ο/4 radians, and its minimum value of -1 at 3Ο/4 and 5Ο/4 radians. In summary, the graph of the tangent function is a wave that oscillates between positive and negative values, crossing the x-axis at Ο/2 and 3Ο/2 radians, with a period of 2Ο radians.
Using the Sine function Sin(x) = 0.5 Then x = Sin^(-1)0.5 x = 30 degrees. Sin^(-1) in the inverse function on you calculator. . It works for Sin , Cosine and Tangent of any angle.
x = sin-1 (4/15) ( sin -1 is [SHIFT] [sin] on a calculator ) = 15.5
x = 74.05 degrees, approx
If tan x = 0.3 then arctan x = 16.70° (2dp)
x = 16.7+180*k deg where k is an integer.
9
Cotangent 32 equals tangent 0.031
The question seems to be incomplete!
x = tan-1(5) = 78.69 degrees
It's not. The tangent of 180 degrees is zero. Consider tan(x) = sin(x)/cos(x). When x = 180 degrees, sin(x) = 0 and cos(x) = -1 and so tan(x) = 0
Approx 44.4 degrees.
If the line y = 2x+1.25 is a tangent to the curve y^2 = 10x then it works out that when x = 5/8 then y = 5/2
x = 15.01, approx.
They are +/- 5*sqrt(2)