- anonymous

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..

- jamiebookeater

See more answers at brainly.com

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this

and **thousands** of other questions

- anonymous

I dont understand what you are asking, what do you mean by 'quad 2'.

- anonymous

14mdaz, you have different quadrants when dealing with the unit circle and that is what he/she is referring to

- anonymous

oh quadrants

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

- anonymous

quadrant 2 is between pi/2 and pi

- anonymous

What I don't get is what he / she is wanting from the exact form of sin (theta+ pi/6) is

- anonymous

it will not be the cleanest value

- anonymous

Is he wanting to add sin theta=3/5 + pi/6???

- anonymous

no he wants theta plus pi/6 all in rads im guessing

- anonymous

applied to sin function

- anonymous

This whole question is just confusing me on top of that right now lol its asking for it to be in exact form

- anonymous

Are you allowed to use a calculator or do you need to find \( \sin \theta = 3/5 \) without a calculator?

- anonymous

Without a calculator sadly...

- anonymous

hmm...

- anonymous

|dw:1436649831637:dw|

- anonymous

:3

- anonymous

I think 14mdaz is explaining so I am going to step back

- anonymous

uhh no i just doodled, its a highly inaccurate diagram

- anonymous

I don't even think he knows

- zepdrix

Still need help on this one shorty? :)

- anonymous

Yes pleaseee!

- zepdrix

You need to apply your Angle Sum Formula:\[\large\rm \sin(\alpha+\beta)=\sin \alpha \cos \beta+\sin \beta \cos \alpha\]

- zepdrix

Let's apply that before we do anything else

- zepdrix

\[\large\rm \sin\left(\theta+\frac{\pi}{6}\right)=\sin \theta \cos \frac{\pi}{6}+\sin\frac{\pi}{6}\cos \theta\]Do you understand how I applied that formula? :)

- anonymous

Yeah 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

Oooo yes good job!
That looks correct!! :)

- anonymous

But how would the work look like?

- anonymous

But when I go to check my answer something comes out differently.

- anonymous

sin(theta)cos(pi/6) + cos(theta)sin(pi/6)
= (3/5)(sqrt(3)/2) - (4/5)(1/2)

- anonymous

The work is correct right?

- zepdrix

\[\large\rm \sin\left(\theta+\frac{\pi}{6}\right)=\left(\sin \theta\right)\left(\cos \frac{\pi}{6}\right)+\left(\sin\frac{\pi}{6}\right)\left(\cos \theta\right)\]\[\large\rm \sin\left(\theta+\frac{\pi}{6}\right)=\left(\frac{3}{5}\right)\left(\frac{\sqrt3}{2}\right)+\left(\frac{1}{2}\right)\left(\frac{-4}{5}\right)\]

- zepdrix

Plugging in the pieces :) ya looks right

- anonymous

But is there a way to check it?

- zepdrix

Hmmm.

- anonymous

He is using the Sum and Difference formula.

- zepdrix

\[\large\rm \sin(\theta)=\frac{3}{5}\qquad\to\qquad \sin^{-1}\frac{3}{5}=\theta\approx0.6435\]
So then the sine of that angle theta... plus pi/6 should approximately give us (3sqrt3-4)/10, whatever decimal that works out to.
Kind of a tough problem to check your work on :)

- anonymous

You can easily check with a calculator. Just plugin the values

- anonymous

Oh alright cuz my professor was all like you can check your work which is why I was asking

Looking for something else?

Not the answer you are looking for? Search for more explanations.