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anonymous
 one year ago
If sin theta=3/5 and theta is in quad 2 the exact form of sin (theta+ pi/6) is .....?
literally have not figured out this question at all..
anonymous
 one year ago
If sin theta=3/5 and theta is in quad 2 the exact form of sin (theta+ pi/6) is .....? literally have not figured out this question at all..

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I dont understand what you are asking, what do you mean by 'quad 2'.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.014mdaz, you have different quadrants when dealing with the unit circle and that is what he/she is referring to

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0quadrant 2 is between pi/2 and pi

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0What I don't get is what he / she is wanting from the exact form of sin (theta+ pi/6) is

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0it will not be the cleanest value

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Is he wanting to add sin theta=3/5 + pi/6???

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0no he wants theta plus pi/6 all in rads im guessing

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0applied to sin function

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0This whole question is just confusing me on top of that right now lol its asking for it to be in exact form

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Are you allowed to use a calculator or do you need to find \( \sin \theta = 3/5 \) without a calculator?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Without a calculator sadly...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1436649831637:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I think 14mdaz is explaining so I am going to step back

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0uhh no i just doodled, its a highly inaccurate diagram

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I don't even think he knows

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.4Still need help on this one shorty? :)

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.4You need to apply your Angle Sum Formula:\[\large\rm \sin(\alpha+\beta)=\sin \alpha \cos \beta+\sin \beta \cos \alpha\]

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.4Let's apply that before we do anything else

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.4\[\large\rm \sin\left(\theta+\frac{\pi}{6}\right)=\sin \theta \cos \frac{\pi}{6}+\sin\frac{\pi}{6}\cos \theta\]Do you understand how I applied that formula? :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yeah I think I have done it that way and got the answer [3*sqrt(3)  4]/10 but I don't think its right :/

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.4Oooo yes good job! That looks correct!! :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0But how would the work look like?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0But when I go to check my answer something comes out differently.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0sin(theta)cos(pi/6) + cos(theta)sin(pi/6) = (3/5)(sqrt(3)/2)  (4/5)(1/2)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The work is correct right?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.4\[\large\rm \sin\left(\theta+\frac{\pi}{6}\right)=\left(\sin \theta\right)\left(\cos \frac{\pi}{6}\right)+\left(\sin\frac{\pi}{6}\right)\left(\cos \theta\right)\]\[\large\rm \sin\left(\theta+\frac{\pi}{6}\right)=\left(\frac{3}{5}\right)\left(\frac{\sqrt3}{2}\right)+\left(\frac{1}{2}\right)\left(\frac{4}{5}\right)\]

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.4Plugging in the pieces :) ya looks right

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0But is there a way to check it?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0He is using the Sum and Difference formula.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.4\[\large\rm \sin(\theta)=\frac{3}{5}\qquad\to\qquad \sin^{1}\frac{3}{5}=\theta\approx0.6435\] So then the sine of that angle theta... plus pi/6 should approximately give us (3sqrt34)/10, whatever decimal that works out to. Kind of a tough problem to check your work on :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You can easily check with a calculator. Just plugin the values

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh alright cuz my professor was all like you can check your work which is why I was asking
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