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Trigonometry
Trigonometry is a field of mathematics. It is the study of triangles. Trigonometry includes planar trigonometry, spherical trigonometry, finding unknown values in triangles, trigonometric functions, and trigonometric function graphs.
3,810 Questions
How do you use the discriminant to find the number and type of zeros of a function?
If the discriminant is positive, then the function has two real zeros. If it is zero, then the function has one real zero. If it is negative, then it has two complex conjugate zeros.
This assumes that we are talking about a standard second order polynomial equation, i.e. quadratic equation, in the form Ax2 + Bx + C = 0, and that the discriminant is B2 - 4AC, which is a part of the standard solution of these kind of equations.
How do you find direction of a vector?
Consider the space defined by orthogonal unit vectors iand j. Let ai + bj be a vector in that space. Its direction is arctan(b/a) provided a � 0. If a � 0, the direction is pi/2 radians (or in the jdirection).
Angles are measured from the positive direction of the iaxis in the anticlockwise direction.
Should you take trigonometry before calculus?
Why? These are two topics within Mathematics. They are not isolated, mutually-insular academic disciplines. Having said that, basic Trigonometry is simpler than Calculus, which requires the deeper grounding in algebra and the graphs of algebraic functions based on x^n where the index n is at least 2 (quadratic and higher-order equations) . At a more advanced level, all three topics merge when you apply calculus to trigonometrical functions.
Many times, calculus classes will expect some basic knowledge of trigonometry. While it may not be too hard to learn in the class, you may feel better prepared if you have taken trigonometry or a pre-calculus class.
How do you find the gradient of the curve y equals x-4 over x when y equals 3?
y = x - 4/x
so gradient = dy/dx = 1 + 4/x2
When y = 3, x - 4/x = 3
x2 - 3x - 4 = 0 so x = -1 or x = 4
When x = -1, gradient = 1 + 4/(-1)2 = 1 + 4/1 = 1+4 = 5
When x = 4, gradient = 1 + 4/(4)2 = 1 + 4/16 = 1+1/4 = 1.25
tan (theta x theta) : must square the value of the angle, theta, before applying the trig function, tangent.
If rank of the matrix is equal to no of variable then it have?
Then it has (not have!) a unique solution.
What are 2 mathematical things about the number 9?
The number nine is a composite number (3 x 3 = 9) and it is a square number (32 = 9). It is a divisor of any number that has digits having the sum of nine or a multiple of 9 (For example, the digits in 367,218 add up to 27, which is a multiple of 9, and the digits in 27 also add up to 9)
What is represented by capital letters angle or side?
Angles are represented by capital letters. Small letters refer to sides.
What is a 3 dimensional figure that 2 triangular faces and 3 rectangular faces?
A triangular prism
(Two triangles as the two bases)
What is the frequency of a sine wave with a period of 2 ms?
The definiton of period (T) . Is T = 1/f ; Therefore if you know that the period is 2.5
It is 1.
How do you prove this trigonometric relationship sin3A equals 3sinA cos 2 A - sin 3 A?
sin(3A) = sin(2A + A) = sin(2A)*cos(A) + cos(2A)*sin(A)= sin(A+A)*cos(A) + cos(A+A)*sin(A)
= 2*sin(A)*cos(A)*cos(A) + {cos^2(A) - sin^2(A)}*sin(A)
= 2*sin(A)*cos^2(A) + sin(a)*cos^2(A) - sin^3(A)
= 3*sin(A)*cos^2(A) - sin^3(A)
sec2(x) - tan2(x)
= 1/cos2(x) - sin2(x)/cos2(x)
= (1 - sin2(x)) / cos2(x)
= cos2(x) / cos2(x)
= 1
Where does the word iridescent come from?
The word is derived in part from the Greek word, Iris, meaning "rainbow," which in turn is derived from the goddess, Iris, the personification of the rainbow. She acted as a messenger of the gods. The rainbow unites earth and heaven, linking the gods to humanity. Iris travels the speed of wind, from one end of the world to the other, and into the depths of the sea and the underworld. Iris was said to have golden wings, and her twin sister, Arkhe, to have iridescent ones. During the Titan war, Zeus tore Arkhe's iridescent wings from her, and gave them as a gift to Nereid Thetis at her wedding. Nereid Thetis, then in turn, gave the wings to her son, Achilles, who wore them on his feet. Achilles was then known as Podarkhes, or "wing-footed with Arkhe's wings."
What quadrant in standard position is -305 degrees?
-305 degrees would be equal to 55 degrees, which can be found in quadrant one in the standard position.
There cannot be a proof since the statement need not be true.
