A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
sin theta=2/9 and tan theta is less than 0. Find sec theta and draw a reference angle. PLEASE HELP IM DYING I don't understand this
anonymous
 one year ago
sin theta=2/9 and tan theta is less than 0. Find sec theta and draw a reference angle. PLEASE HELP IM DYING I don't understand this

This Question is Open

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0dw:1442457266673:dw remember this CAST rule for signs

prizzyjade
 one year ago
Best ResponseYou've already chosen the best response.0Sin theta = 2/9 Tan theta<0 Sec theta = 1/cos theta Tan theta = sintheta/costheta Let tan = 1 1(costheta)= 2/9 Costheta=2/9 Sectheta=1/(2/9) Sectheta= 9/2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm still so confused haha

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0alright so given sin = 2/9 which is negative 2nd information given is tan < 0 so at which quadrant you should draw right triangle ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the second one right?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0sin is positive at 2nd quadrant but the given sin is negative dw:1442457589135:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0OH I was confused which one was the second one, so would it be the fourth one then? the one in the bottom righthand corner

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0in which quadrant sin is negative ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.03 and 4 but tan is less than zero so I'm assuming that it would be quadrant 4

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0yes right dw:1442457799099:dwdraw right triangle in 4th quadrant and remember this \[\rm sin \rm \theta = \frac{ opposite }{ hypotenuse }~~~~ \cos \theta = \frac{ adjacent }{ hypotenuse } ~~\tan \theta = \frac{ opposite }{ adjacent }\]

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0sin = opposite over hyp \[\huge\rm sin\theta=\frac{ opposite }{ hyp }=\frac{ 2 }{ 9 }\]

prizzyjade
 one year ago
Best ResponseYou've already chosen the best response.0Tan must be in quadrant 4 since, sine is negative.and tangent is less 0 which means it is negative.

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0dw:1442457929676:dw remember adjacent and opposite sides depends on the angle

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0right, so don't I use pythagorean theorem next?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0yes right use pyth theorem to find 3rd side of right triangle

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok, i got the square root of 77. now what?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0dw:1442458115705:dw do you know the definition of sec ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yeah it would be r/x right?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0hm csc is reciprocal of 1/sin do you know what's reciprocal of sec ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0\[\large\rm sin = \frac{ 1 }{ \csc }~~~~\cos=\frac{ 1 }{ \sec } ~~~~\tan=\frac{ 1 }{ \cot }\]

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0csc ,sec ,cot are reciprocal of sin ,cos ,tan

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ohhh ok so now what do i do?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0to find sec you should know cos cos = adjacent over hyp so look at the triangle adjacent over hyp = ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so sec of theta would be 9 over square root 77?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0yes right but you can't leave the radical at the denominator so multiply top and bottom with sqrt{77}\[\frac{ 9 }{ \sqrt{77}} \times \frac{ \sqrt{77} }{ \sqrt{77} }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ohhh ok sooooo ok... that would be 1.025..?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0hmm leave it as a fraction

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ummm,... lol ok in that case would it be 9 square root 7 over 77? I don't remember how to simplify those

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0just multiply the numerator by numerator and denominator by denominator do you mean sqrt{77} or just sqrt{7} ??

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0sqrt(77) and yeah I know that haha, but I just don't know what that would come out to be

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh great! so that's the answer?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thank you so so much! would you mind helping me with one more question? It's tan theta = 7/24 and 90 degrees is less than 0 less than 180

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0and find cos theta lol I just don't know how the 90 less than 0 less than 180 works in the problem

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0i've to go sorry one mint left :D

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh lol well thanks anyway!

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0are you sure it's 90 less than 0 less than 180 ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh my goodness thank you that is so helpful and yes
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.