# Solving for Theta, wolfram doesn't give anything useful

## Homework Statement

I need to write a function of theta in terms of a particular variable. I just can't seem to figure it out; the only solution I can come up with is when the aforementioned variable is equal to 0 or 1. I'm using Q to denote theta, and b is the variable.

sin^3(Q)/cos(Q)=b^2

## Homework Equations

Any and all trig identities.
I've used sin^2(x)+cos^(x)=1, sin(2x)=2sin(x)cos(x), I haven't stumbled into any work that led me to use other identities!

## The Attempt at a Solution

Around 5 pages of scratch work, all for naught.
Any relevant trig identities I might be missing would be nice to know, if anyone figures this out soon! Thanks!

SammyS
Staff Emeritus
Homework Helper
Gold Member

## Homework Statement

I need to write a function of theta in terms of a particular variable. I just can't seem to figure it out; the only solution I can come up with is when the aforementioned variable is equal to 0 or 1. I'm using Q to denote theta, and b is the variable.

sin^3(Q)/cos(Q)=b^2

## Homework Equations

Any and all trig identities.
I've used sin^2(x)+cos^(x)=1, sin(2x)=2sin(x)cos(x), I haven't stumbled into any work that led me to use other identities!

## The Attempt at a Solution

Around 5 pages of scratch work, all for naught.
Any relevant trig identities I might be missing would be nice to know, if anyone figures this out soon! Thanks!

sin3(θ)/cos(θ) = 1/(cot(θ)csc2(θ)) = 1/(cot(θ)+cot3(θ))

but I don't think this will help all that much.

Dick