Start with an equilateral triangle with all sides of length 2 units and all angles of 60 degrees. Draw the altitude from the apex (top vertex) to the base. Since this is an equilateral triangle, it is easy to show that this line bisects the base.
So now you have a right angled triangle, with a base of 1 and a hypotenuse of 2. Therefore, by Pythagoras, its vertical height is sqrt(3).
Then tan(60) = opposite side/adjacent side = sqrt(3)/1 = 1.7321
It is probably easier if you sketch the diagrams as you go along.
Tangent of 30 degrees is 0.5770.577
The tangent of 60 degrees is equal to the square root of 3, or approximately 1.732. This value can be derived from the properties of a 30-60-90 triangle, where the ratio of the lengths of the sides opposite the angles gives the tangent. Specifically, in a 30-60-90 triangle, the side opposite the 60-degree angle is √3 times the length of the side opposite the 30-degree angle.
The inverse tangent is 0.83448691252602 degrees.
The tangent-tangent angle is formed by two tangents drawn from a point outside a circle to points on the circle. To find the measure of the tangent-tangent angle, you take half the difference of the intercepted arcs. In this case, the arcs measure 135 degrees and 225 degrees. Therefore, the measure of the tangent-tangent angle is (\frac{1}{2} (225^\circ - 135^\circ) = \frac{1}{2} (90^\circ) = 45^\circ).
The tangent of 34 degrees is irrational and so cannot be written in fraction form.
60 * pi / 180
The tangent of 60 degrees is sqrt(3) = 1.732 approx. The shape or size of the triangle is irrelevant.The tangent of 60 degrees is sqrt(3) = 1.732 approx. The shape or size of the triangle is irrelevant.The tangent of 60 degrees is sqrt(3) = 1.732 approx. The shape or size of the triangle is irrelevant.The tangent of 60 degrees is sqrt(3) = 1.732 approx. The shape or size of the triangle is irrelevant.
Tan(60) = Sin(60)/ Cos(60) Sin(60) = sqrt(3)/2 Cos(60) = 1/2 Hence Sin(60) / Cos(60) = [sqrt(3) / 2] / [1/2} => sqrt(3) / 2 X 2/1 sqrt(3) Hence Tan(60) = sqrt(3) = Numerically = 1.732050808....
The tangent of 75 degrees is: 3.7320507852401
Yes, the sine decreases, and so does the tangent.
Tangent of 30 degrees is 0.5770.577
The tangent of 89 degrees is: 57.3
Tangent is 0.5317
The question seems to be incomplete!
Tangent = 0.5
The tangent of 0.47 radians is about 0.508. The tangent of 0.47 degrees is about 0.00820.
The inverse tangent is 0.83448691252602 degrees.