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Why does the value of the tangent ratio of a given angle not depend on the right triangle?
Wiki User
∙ 6y ago
The tangent ratio is defined in several different ways. One of these consists of infinite series: the series for the tangent function contains some coefficients which are difficult to calculate. However, the tangent series van be easily calculated from the sine and cosine ratios.
sin(x) = x - x3/3! + x5/5! - x7/7! + ...
and
cos(x) = 1 - x2/2! + x4/4! - x6/6! + ...
where x is the angle defined in radians, and n! represents 1*2*3*...*n.
So tan(x) = sin(x)/cos(x).
None of these require a right angle.
Wiki User
∙ 6y ago
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How do you determine the measure of an angle with trig?
Depends on what is given. SOHCAHTOA where O=opposite side, H=hypotenuse, A=opposite sides of a triangle in relation to the angle you are seeking.C=cosine, S=sine, T=tangent. So it depends on what is given and what is sought to be any more specific!
How do you get the tangent line without the graph?
The answer will depend on the context. If the curve in question is a differentiable function then the gradient of the tangent is given by the derivative of the function. The gradient of the tangent at a given point can be evaluated by substituting the coordinate of the point and the equation of the tangent, though that point, is then given by the point-slope equation.
What is the measurement of the 3rd angle for a triangle given both angle measurement 54 degrees?
It is an isosceles triangle and the 3rd angle is 72 degrees.
How can you solve for angle A when only side a and side b of a right triangle are given in trigonometric functions?
It depends on the relationship of the sides to the angle. Assuming that neither side a or side b are the hypotenuse (longest side of the right triangle) and that side A is opposite the angle A and side b is closest (adjacent) to angle A then side a over side b will give the tangent of the angle A. If either side a or side b is the hypotenuse then when multiplied together their relationship to the angle A will give either the Sine or the Cosine of the angle A. Tangent = Opposite side / Adjacent side. Sine = Opposite / Hypotenuse. Cosine = Adjacent / Hypotenuse. A full explanation with diagram is at the related link below:
What do you do in trigonometry when you are only given the opposite and adjacent sides?
That depends what you're asked for. If you're asked for the tangent of the angle, divide (opposite)/(adjacent) . If you're asked for the hypotenuse of the triangle, it's sqrt( opposite2 + adjacent2 ) . If you're asked for the cosine of the angle, it's (adjacent)/(hypotenuse) . If you're asked for the other acute angle, it's the angle whose tangent is (adjacent)/(opposite) . If you're not asked for anything, then get your jacket, chew some gum, and go home.
How do you calculate the base of the right triangle given the height and the opposite angle?
By using the tangent ratio of: opposite/tangent angle = adjacent which is the base
What does a slope of a tangent represent?
All this represents is the angle of a triangle, which is calculated using trigonometry. The slope is given in degrees of an angle.
What does the tangent of infinity equal?
The tangent of infinity is undefined because it is not a real number. The tangent function is defined as the ratio of the side opposite a given angle to the side adjacent to the angle in a right triangle. Since infinity is an abstract concept which has no physical representation, it is not possible to measure the sides of a triangle with an infinite length. Therefore, the tangent of infinity is undefined.
How do you determine the measure of an angle with trig?
Depends on what is given. SOHCAHTOA where O=opposite side, H=hypotenuse, A=opposite sides of a triangle in relation to the angle you are seeking.C=cosine, S=sine, T=tangent. So it depends on what is given and what is sought to be any more specific!
How do you get the tangent line without the graph?
The answer will depend on the context. If the curve in question is a differentiable function then the gradient of the tangent is given by the derivative of the function. The gradient of the tangent at a given point can be evaluated by substituting the coordinate of the point and the equation of the tangent, though that point, is then given by the point-slope equation.
What is the measurement of the 3rd angle for a triangle given both angle measurement 54 degrees?
It is an isosceles triangle and the 3rd angle is 72 degrees.
Which of the following is not a Pythagorean triple?
That will depend on the triples of which none have been given but in order to be a Pythagorean triple they must comply with Pythagoras' theorem for a right angle triangle.
How can you solve for angle A when only side a and side b of a right triangle are given in trigonometric functions?
It depends on the relationship of the sides to the angle. Assuming that neither side a or side b are the hypotenuse (longest side of the right triangle) and that side A is opposite the angle A and side b is closest (adjacent) to angle A then side a over side b will give the tangent of the angle A. If either side a or side b is the hypotenuse then when multiplied together their relationship to the angle A will give either the Sine or the Cosine of the angle A. Tangent = Opposite side / Adjacent side. Sine = Opposite / Hypotenuse. Cosine = Adjacent / Hypotenuse. A full explanation with diagram is at the related link below:
What triangle has 3in 4in 5in?
The dimensions given fit that of a right angle triangle
What are facts about right triangles?
The ratio of the length of the side opposite a given angle to the hypotenuse is the sine of that angle.The ratio of the length of the side adjacent to a given angle to the hypotenuse is the cosine of that angle.The ratio of the length of the side opposite a given angle to the side adjacent to that angle is the tangent of that angle.
What do you do in trigonometry when you are only given the opposite and adjacent sides?
That depends what you're asked for. If you're asked for the tangent of the angle, divide (opposite)/(adjacent) . If you're asked for the hypotenuse of the triangle, it's sqrt( opposite2 + adjacent2 ) . If you're asked for the cosine of the angle, it's (adjacent)/(hypotenuse) . If you're asked for the other acute angle, it's the angle whose tangent is (adjacent)/(opposite) . If you're not asked for anything, then get your jacket, chew some gum, and go home.
How can you solve for angle A given a right triangle when two sides are given in trigonometric functions?
It depends on the details of the specific triangle.
