A community for students.
Here's the question you clicked on:
 0 viewing
UnbelievableDreams
 one year ago
Confusing math question
UnbelievableDreams
 one year ago
Confusing math question

This Question is Closed

UnbelievableDreams
 one year ago
Best ResponseYou've already chosen the best response.0Find the exact value of s in the given circular function value. Do not use a calculator. [0, pi/2]; sin s = sqrt3/ 2 I will be offline for an hour because my grandfather needs me. Can you please show me how to do this? Thank you.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Use the unit cirycle. The xcoordinates give cosines and the ycoordinates give sines. The part in brackets tells you that you're looking for angles between 0 and π/2 inclusive. That's the first quadrant. So you're looking for the angle in radians that has a ycoordinate of \(\frac{ \sqrt{3} }{ 2 }\). dw:1437169225134:dw

UnbelievableDreams
 one year ago
Best ResponseYou've already chosen the best response.0I got it. But what about tan? I always get wrong answer.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0tan Θ = y/x, so if you wanted to find \(\tan \frac{\pi}{3}\) divide \(\frac{ \sqrt{3} }{ 2 }\) by ½. \[\tan \frac{ \pi }{ 3 }=\frac{ \sqrt{3} }{ 2 }\div \frac{ 1 }{ 2 }=\frac{ \sqrt{3} }{ 2 }\times \frac{ 2 }{ 1 }=\sqrt3\]

UnbelievableDreams
 one year ago
Best ResponseYou've already chosen the best response.0I am still confused. :(

UnbelievableDreams
 one year ago
Best ResponseYou've already chosen the best response.0I wonder how you get sqrt3 / 2 and 1/2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0They come from the circle. I just used π/3 as an example. At π/3, the (x,y) point is \((\frac{ 1 }{ 2 },\frac{ \sqrt3 }{ 2 })\). And then to find the tangent, divide the y coordinate by the x coordinate.

UnbelievableDreams
 one year ago
Best ResponseYou've already chosen the best response.0I see. Like for example, tan s (sqrt 3) I can't find sqrt 3 so it is sqrt/3

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0tan ratios are not on most circles explicitly, so you have a few options. IMO, the quickest is to memorize the tan values for the 1st quadrant and then relate them to the others. tan 30° = tan π/6 = 1/√3 = (√3)/3 tan 45° = tan π/4 = 1 tan 60° = tan π/3 = √3 You can also derive it with a right triangle. If tan Θ is 1 or 1, the triangle is 454590 and is an odd multiple of π/4. If tan is ±√3 or ±(√3)/3 then it's a 306090 triangle and you can use the values to figure out if the angle is 30° or 60°. dw:1437186512607:dw

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1[0, pi/2] means that from 0 to 90 degrees we are in the first quadrant

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1pi/2 x 180/pi = 180/2=90 degrees we use 180/pi to convert from radians to degrees we use pi/180 to convert from degrees to radians

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1memorizing the 30,45,60 degree triangles work too.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1dw:1437187176412:dw
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.