Posted by Jaime on Friday, September 2, 2011 at 8:42pm.
given that sec theta = radical13/whole number 3, and csctheta<0 find sin theta using the 2different methods;
1)using the "x-y-r" definition
2) using identities only
- Geometryy - Ms. Sue, Friday, September 2, 2011 at 8:57pm
Timmy, Ryland, Cobra, Jaime -- you must be having an identity crisis tonight.
Please use the same name for all of your posts.
- Geometryy - Reiny, Friday, September 2, 2011 at 9:13pm
given sec Ø = √13/3 ---> cosØ = 3/√13
also cscØ < 0 ---> sinØ < 0
Ø must be in quadr IV
so x = 3 , r = √13
x^2 + y^2 = r^2
9 + y^2 = 13
y^2 = 4
y = ± 2 , but in IV y = -2
sin Ø = -2/√13
2) you should know that
sin^2Ø + cos^2Ø = 1
sin^2Ø + 9/13 = 1
sin^2Ø = 4/13
sinØ = 2/√13 , but we know that Ø is in IV, where the sine is negative, so
sinØ = -2/√13
Answer this Question
More Related Questions
- Trigonometry - I don't understand how I'm supposed set the problem up or what ...
- Trig - Simplify each expression using fundamental identities. 1. Sin theta cot ...
- Trigonometry - Simplify each expression using fundamental identities. 1. Sin ...
- Trig - Column 1 Column 2 sec theta - cos theta tan theta sin theta Question: how...
- Algebra II - Multiple Choice (theta) means the symbol 0 with the dash in it. 1.)...
- Calculus - I wanted to confirm that I solved these problems correctly (we had to...
- Trig Identities - Please help...I'm not understanding trig identities and how to...
- trigonometry - I need help in understanding how to identify which identity to ...
- math - Hi ! Here is my question: The pythagorean theorem gives the relationships...
- Precalculus check answers help! - 1.) Find an expression equivalent to sec theta...