Trig
Precalculus and/or calculus.
1000
y = 2sin(x)cos(x)Use the product rule: uv' + vu' where u is 2sin(x) and v is cos(x) to find first derivative:y' = 2sin(x)(-sin(x)) + cos(x)2cos(x)Simplify:y' = 2cos2(x)-2sin2(x)y' = 2(cos2(x)-sin2(x))Use trig identity cos(2x) = cos2(x)-sin2(x):y' = 2cos(2x)Take second derivative using chain rule:y'' = 2(-sin(2x)cos(2x))Simplify:y'' = -2sin(2x)(2)Simplify:y'' = -4sin(2x)y'' = -4sin(2x)
Yes, trig is the math of triangles, particularly right trianges.
That depends on your profession. If you are a math teacher, then you might use a lot of Trig. If you are an engineer, working with forces on any object from different directions, then you would use trig. Electrical engineers use trig. Surveyors use trig.
Trig identities are vital in upper level math. Anything involving the unit circle or triangles is completely based in the trig identities. Trig is used in many other fields, such as architecture, where the identities play a huge role.
some algebra, mostly geometry, and a little bit of trig.
Basic arithmetic, plane geometry and trig ought to do it.
Students who have successfully completed Algebra II may take this year long elective course that extends both algebra and trigonometry topics. Emphaisis is on functions and their inverses, equations and inequalities, graph theory, matrices, sequences and series, conic sections, and logarithms. Trigonometry topics include triangular and circular definitions of the trig functions, trig identities, and solutions of trig equations. This course is designed for students who do not plan to continue with math studies in high school but needed to strengthen and extend their foundations in algebra and trigonometry. It does not meet the prerequisites for Calculus AB and BC.
Tenth grade math varies since it is in high school and there are different types of classes. It can be Geometry, Algebra, or Trig normally.
A*sin(x) + cos(x) = 1B*sin(x) - cos(x) = 1Add the two equations: A*sin(x) + B*sin(x) = 2(A+B)*sin(x) = 2sin(x) = 2/(A+B)x = arcsin{2/(A+B)}That is the main solution. There may be others: depending on the range for x.