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How is tangent defined?
The tangent of an angle theta is defined as sine(theta) divided by cosine(theta). Since the sine and cosine are Y and X on the unit circle, then tangent(theta) is Y divided by X. The tangent of a function at a point is the line going through that point which has slope equal to the first deriviative of the function at that point.
What is the definition of a tangent function?
Tangent (theta) is defined as sine (theta) divided by cosine (theta). In a right triangle, it is also defined as opposite (Y) divided by adjacent (X).
What is the answer to y equals 4x-5 in a mapping diagram?
9
What is tangent to the x axis?
Well, since a tangent line touches a line in one spot, the Y axis could be considered tangent to the X axis.
What is 1 divided by x divided by 2 divided by y?
0.5
What is a number divided by a minus number?
X divided by -Y is the same as -X divided by Y. Or - (X/Y)
What are the sum and difference identities for the sine cosine and tangent functions?
Sine sum identity: sin (x + y) = (sin x)(cos y) + (cos x)(sin y)Sine difference identity: sin (x - y) = (sin x)(cos y) - (cos x)(sin y)Cosine sum identity: cos (x + y) = (cos x)(cos y) - (sin x)(sin y)Cosine difference identity: cos (x - y) = (cos x)(cos y) + (sin x)(sin y)Tangent sum identity: tan (x + y) = [(tan x) + (tan y)]/[1 - (tan x)(tan y)]Tangent difference identity: tan (x - y) = [(tan x) - (tan y)]/[1 + (tan x)(tan y)]
How do you determine the height of a mast?
You can determine the height of a mast by using the tangent. Measure the distance from the base, and the angle of elevation of the top of the mast as observed from that distance. The tangent is y over x, so substitute x for the distance from the base and y for the height of the mast. Solve from there. For instance, if the angle is 60 degrees and the x distance is 25 feet, then... tan (60) = y / 25 25 tan (60) = y y = 43.3
Find the equation of the line tangent to the graph of y equals cos2x at x equals pi divided by 4?
0.5
What are the tangent line equations of the circle x2 plus y2 -6x plus 4y plus 5 equals 0 when the circle passes through the x axis?
Equation of circle: x^2 +y^2 -6x +4y +5 = 0 Completing the squares: (x-3)^2 +(y+2)^2 = 8 Radius of circle: square root of 8 Center of circle: (3, -2) Circle makes contact with the x axis at: (1, 0) and (5, 0) Slope of 1st tangent: 1 Slope of 2nd tangent: -1 1st tangent line equation: y = 1(x-1) => y = x-1 2nd tangent line equation: y = -1(x-5) => y = -x+5
What is a tangent ratio?
The tangent is the ratio of sine over cosine; also, in a unit circle, Y over X.
How do you find the period of tangent function?
You find the smallest positive value y such that tan(x + y) = tan(x) for all x.
