+0  
 
0
322
1
avatar

1.56*sin45=1.33sin(theta)

Guest May 10, 2017
 #1
avatar+92768 
+1

1.56*sin45=1.33sin(theta)

 

\(1.56*sin45=1.33sin(\theta)\\ 1.56*\frac{1}{\sqrt2}=1.33sin(\theta)\\ 1.56*\frac{1}{\sqrt2}\div 1.33=sin(\theta)\\ sin(\theta)=0.829388405\\ \theta=sin^{-1}0.829388405\\ \theta \approx 56^\circ 2'9'' \qquad \text{This is just the first quad answer}\\ \text{Sin is positive in the second quad as well}\\ \theta \approx 180^\circ-56^\circ 2'9''\\ \theta \approx 123^\circ 57'51''\\ so\\ \theta \approx 56^\circ 2'9''+2n\pi \quad or \quad \theta \approx 123^\circ 57'51''+2n\pi \quad where\;\; n\in Z\\ \text{Put that together and you get}\\ \theta =180n+(-1)^n*56^\circ 2'9'' \quad where\;\; n\in Z\\ \)

Melody  May 10, 2017

4 Online Users

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.