Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
Determine the values of sin θ, cos θ, tan θ, csc θ, sec θ, and cot θ at (3, 4) on the terminal arm of an angle θ in standard position.
 one year ago
 one year ago
Determine the values of sin θ, cos θ, tan θ, csc θ, sec θ, and cot θ at (3, 4) on the terminal arm of an angle θ in standard position.
 one year ago
 one year ago

This Question is Closed

aussy123Best ResponseYou've already chosen the best response.1
hi, ill show you by doing it in a^2+b^2=c^2
 one year ago

aussy123Best ResponseYou've already chosen the best response.1
dw:1366290386156:dw
 one year ago

aussy123Best ResponseYou've already chosen the best response.1
Ok in order to figure out sin θ, cos θ, tan θ, csc θ, sec θ, and cot θ, you must know its properties.
 one year ago

aussy123Best ResponseYou've already chosen the best response.1
In quad 1 all of the properties are positive In quad 2 on sin and csc are positive In quad 3 only tan and cot are positive In quad 4 only cos and sec are positive
 one year ago

aussy123Best ResponseYou've already chosen the best response.1
For your we are in quad 3, so only tan and cot are positive.
 one year ago

aussy123Best ResponseYou've already chosen the best response.1
Now one of your properties are already given. tan θ= which is opposite over adjacent. dw:1366290912052:dw
 one year ago

aussy123Best ResponseYou've already chosen the best response.1
so tan θ= 3/4 Its positive because tan θ is positive in 3rd quad. and since we know tanθ, we know cotθ. cotθ is the reciprocal of tanθ, being that it is adjacent over opposite. so cot θ = 4/3. Remember dont mark negative just because it is given that way. Follow the rules of the quads.
 one year ago

aussy123Best ResponseYou've already chosen the best response.1
Now we use a^2 +b^2=c^2 formula to solve
 one year ago

aussy123Best ResponseYou've already chosen the best response.1
dw:1366291285028:dw
 one year ago

aussy123Best ResponseYou've already chosen the best response.1
dw:1366291332244:dw
 one year ago

aussy123Best ResponseYou've already chosen the best response.1
dw:1366291457845:dw
 one year ago

aussy123Best ResponseYou've already chosen the best response.1
Now Using what is above you can solve for the rest by following these rules. sinθ= Opposite over Hypotenuse ONLY POSITIVE IN QUAD 1 and QUAD 2 cscθ=Hypotenuse over Opposite __________________________________________________ cosθ= Adjacent over Hypotenuse ONLY POSITIVE IN QUAD 1 AND 4 secθ= Hypotenuse over Adjacent HOPE YOU FOUND THIS HELPFUL! :)
 one year ago

aussy123Best ResponseYou've already chosen the best response.1
Did you find the rest?
 one year ago

allisonheBest ResponseYou've already chosen the best response.1
yes, and i think this helpful
 one year ago

aussy123Best ResponseYou've already chosen the best response.1
Ok Happy to know! Have a great Day!
 one year ago
See more questions >>>
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.