Cos Theta/Sin Theta=10.11; Solve for Theta

  • Thread starter Thread starter Squires
  • Start date Start date
  • Tags Tags
    Trig
AI Thread Summary
To solve the equation cos(theta)/sin(theta) = 10.11, it can be rewritten as tan(theta) = 1/10.11. Taking the arctangent of both sides provides the value of theta within the interval (0, π/2). The user confirmed the method by using an acot scientific calculator, which yielded consistent results. The discussion highlights a common trigonometric identity and the process of solving for theta. The solution emphasizes the importance of understanding cotangent and tangent relationships in trigonometry.
Squires
Messages
15
Reaction score
0
if cos(theta)/sin(theta)=10.11, what is theta considering theta is a constant, just spent 2 hours on a collisions question and am stuck on the last hurdle, thanks for looking
 
Physics news on Phys.org
Nevermind, ultra blonde moment fml. cotcotcotcotcot!
 
And since cot(θ) = 1/tan(θ), your equation is equivalent to tan(θ) = 1/10.11. Take the arctangent of both sides to find the value of θ in the interval (0, π/2).
 
True that, thanks man, I googled an acot scientific calculator, just checked your method with it and got the same results, boom!
 

Thread 'Finding the number of ways to arrange identical balls in a circle (3 different colors)'

I tried to combine those 2 formulas but it didn't work. I tried using another case where there are 2 red balls and 2 blue balls only so when combining the formula I got ##\frac{(4-1)!}{2!2!}=\frac{3}{2}## which does not make sense. Is there any formula to calculate cyclic permutation of identical objects or I have to do it by listing all the possibilities? Thanks
View full post »

Thread 'Greatest possible value of a constant in polynomial'

Since ##px^9+q## is the factor, then ##x^9=\frac{-q}{p}## will be one of the roots. Let ##f(x)=27x^{18}+bx^9+70##, then: $$27\left(\frac{-q}{p}\right)^2+b\left(\frac{-q}{p}\right)+70=0$$ $$b=27 \frac{q}{p}+70 \frac{p}{q}$$ $$b=\frac{27q^2+70p^2}{pq}$$ From this expression, it looks like there is no greatest value of ##b## because increasing the value of ##p## and ##q## will also increase the value of ##b##. How to find the greatest value of ##b##? Thanks
View full post »

Similar threads

Proving trig identities -- Is the method related to the unit circle?
2
Replies
54
Views
4K
Solving equations of the form ##a\sin\theta+b\cos\theta = c##
Replies
2
Views
2K
I know ##tan 2\theta## but what is ##sin \theta##
Replies
8
Views
2K
Why Is My Argument Calculation for Complex Number Incorrect?
Replies
14
Views
2K
Finding a domain for a function
Replies
7
Views
2K
Trigonometric equation of two sines
Replies
8
Views
2K
Deriving the sum of sin and cos formula
Replies
2
Views
2K
Understanding cot2(theta) = A-C / B
Replies
8
Views
4K
Solving for ##\theta## in a Complex Grinding Problem
Replies
8
Views
2K
B Question about change of variables
Replies
29
Views
4K

Hot Threads

Recent Insights

Back
Top