Calculus is the study of instantaneous and cumulitive growths of functions with respect to two or more variables. Trigonometry is the study of angles, specifically in triangles.
It depends. Between 9th to 12th.
It means there is a fixed relationship between the three sides of a right angled triangle. If you know the length of two of the sides then the third can be calculated. It has other implications in geometry and trigonometry also.
In geometry, angles are studied mostly in relation to each other. In Trigonometry, angles are studied in relation to side lengths and triangles.
Various trigonometric functions, such as sine or cosine, show the relationship between the lengths of sides of a triangle and the angles between those sides. So trigonometry is used to calculate angles, lengths and distances using right triangles. Right triangles are those that have one angle of exactly 90 degrees. Example: You want to find the height of a tree. Measure off a fixed distance from the tree and measure the angle between the ground and the line-of-sight to the top of the tree. The height of the tree = the distance to the tree times the tangent of the angle between the tree and the ground, ie tan(x).
Calculus is the study of instantaneous and cumulitive growths of functions with respect to two or more variables. Trigonometry is the study of angles, specifically in triangles.
Differential calculus is concerned with finding the slope of a curve at different points. Integral calculus is concerned with finding the area under a curve.
Trigonometry focuses specifically on the study of triangles, and concepts that are closely related to properties of triangles. Pre-Calculus is generally a preperation for the concepts of Calculus, and often reviews or builds upon concepts learned in previous forms of mathematics, which may include information learned from Trigonometry.
The law of sines refers to a relationship between the sides and the angles of a triangle. Consequently, it is used in trigonometry and, to a lesser extent, in geometry. It is not really relevant in calculus or statistics.
Calculus is usually taught two years after Algebra two. Between Algebra two and Calculus is Trigonometry or Pre-Calculus. We teach it in A Texas school at grade 12.
If trigonometric functions are in the integrand (the terms inside the integral), then knowing the relationship between the different trig functions, can allow you to rewrite the terms in an equivalent format, but is much easier to integrate.
There is no direct relationship. Trigonometry can be used in criminology as can many branches of mathematics and of science.
In Precalculus one learns about trigonometry and it explains concepts which are introductions to calculus. Calculus uses the concepts/ syllabi taught in precalculus to develop formulas for processes for finding things like derivatives. Precalculus is also called preparation for calculus.
People often divide Calculus into integral and differential calculus. In introductory calculus classes, differential calculus usually involves learning about derivatives, rates of change, max and min and optimization problems and many other topics that use differentiation. Integral calculus deals with antiderivatives or integrals. There are definite and indefinite integrals. These are used in calculating areas under or between curves. They are also used for volumes and length of curves and many other things that involve sums or integrals. There are thousands and thousand of applications of both integral and differential calculus.
Mathematics (math) is a broad field of endeavour, which includes arithmetic. Arithmetic is the part which deals with numbers (and their interactions) only. Other math fields are Number Theory, complex numbers, graph theory, differential calculus, many others.
The uses of Sin, Cos etc. in Maths is in relation to Trigonometry. Trigonometry is the study of the relationship between angles and lengths of triangles.
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