SOLUTION: Asked this question last night but forgot a portion of the problem. If given SinA = -5/7 and 180° < A < 270° Find: Sin(2A), Cos(2A), and Tan(2A) I have the formula and am

Algebra.Com
Question 1073744: Asked this question last night but forgot a portion of the problem.
If given SinA = -5/7 and 180° < A < 270°
Find: Sin(2A), Cos(2A), and Tan(2A)
I have the formula and am working through it but feel like my numbers are coming out wrong.

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!

Since we are given 180° < A < 270°, we know A is in QIII, so we
draw angle A in QIII, and since ,
we can put angle A in a right triangle in QIII with OPPOSITE=y as 
the numerator -5 and the denominator as the HYPOTENUSE=r as 7.  
(We always take the hypotenuse r as positive.

Then we find the adjacent side, x, by the Pythagorean theorem:






 



Now you can use your formula
We know to take the negative sign since
x goes to the left.



 

Now use your formulas for 2A using OPPOSITE, ADJACENT and HYPOTENUSE from
the triangle graph above.  Be sure to use the correct signs.  The
ADJACENT or x in QIII is negative (because it goes left) and the OPPOSITE 
or y in QIII is also negative (because it goes down). The hypotenuse r is 
ALWAYS positive in every quadrant.

If you still get the wrong answers, tell me in the thank-you note form
below and I'll get back to you by email.  No charge ever! I do this for fun.

Edwin


RELATED QUESTIONS

Having difficulties with this problem: SinA = -5/7 and 180° < A <... (answered by Edwin McCravy)
In a right triangle sinA= 3/5 and C=17. Find a and b. Be sure to draw a right triangle... (answered by ewatrrr)
This is a 3-part question. 1) Solve the following equation. Which of its values from... (answered by solver91311)
Given sinA = 5/13 and cosB = 4/5, then to the nearest hundredth, sin(B-A)= The only... (answered by Fombitz)
find value of A when sinA = Sin 2A and A is between 0 and 360 degree (answered by greenestamps)
if sinA+cosB=2 . find the sin(2A+B/3) ? solution is... (answered by stanbon)
Given {{{cos(theta)}}} = -{{{7/25}}} and 180° < {{{theta}}} < 270°; find the exact value... (answered by ikleyn)
Use the given information to determine the exact trigonometric value. If csc(theta)=... (answered by stanbon)
I cant seem to wrap my head around this problem to even begin solving, maybe im just... (answered by Fombitz)