# Tagged Questions

Linear, exponential, logarithmic, polynomial, rational, and trigonometric functions, conic sections, binomial, surds, graphs and transformations of graphs, equation- and system-solving, and other symbolic-manipulation topics.

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### If $f(x)=2x-5$, when $f(x)=13$

If $\ f(x) = 2x - 5 \$ , find $\ x \$ when $\ f(x) = 13 \$. I substituted 13 and got 21, but the answer was 9? Can someone please show me working out for this type of question I'm bad at math!
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### Trignometric Equation

Find the three smallest positive values of $\theta$ such that $4\cos^2(2\theta-\pi) =3.$ I saw that $\cos{(2\theta-\pi)}$ equals $\frac{\sqrt{3}}{2}$, therefore, $2\theta-\pi=\frac{\pi}{6}+2x\pi$ ...
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### Two functions intersect,solve the equation.

Given two functions,show where they intersect $(x^2−5)^2/(x+7)^2=\sqrt{169-x^2}$ I have already tried to square both of them but I get a very complex equation and I can not solve it. I saw a guy who ...
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### Polynomial multiplication

If a function Q(x) only has integer coefficients and has factors : f1(x),f2(x),... fn(x). Can the functions f1(x),f2(x),... and fn(x) necessarily have integer coefficients? Gaussian integers are fine ...
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### Proving identites with only tan and cot

I can't figure out how to start this identity or solve it. I began on the right side and distributed but I don't know where to go from there. cotA + cotB= cotAcotB (tanB + tan A)
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### Exponents in Identities

I am stuck on this identity $\sin^3 x \cos x-\sin^5 x \cos x= \sin^3 x \cos^3 x$ I began working on the left side, but can't seem to reduce the exponents
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### Solving Triangle Word Problems

A ship leaves port for a remote island 34 miles west and 60 miles south of the port. Find the distance and bearing to the remote island. What would the diagram look like to this problem? and what ...