SOLUTION: Given {{{cos(theta)}}} = -{{{7/25}}} and 180� < {{{theta}}} < 270�; find the exact value of {{{sin(theta/2)}}}.

Question 1037376: Given = - and 180� < < 270�; find the exact value of .
Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
.
Given = - and 180� < < 270�; find the exact value of .
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Use the formula of Trigonometry

 = 

(se the lesson Trigonometric functions of half argument in this site).

You will have

 =  =  =  =  =  = .

The sign "+" was chosen at the square root since the angle  lies in the 2-nd quadrant.

For similar problems see the lessons
- Calculating trigonometric functions of angles
- Advanced problems on calculating trigonometric functions of angles
in this site.

RELATED QUESTIONS
Step by step expanation? Given cos (theta) = -15/17 and 180 < theta < 270, find the... (answered by solver91311)

Find the exact value of sin (theta)/2 if cos (theta) = 2/3 and 270 deg. < (theta) < 360... (answered by jsmallt9)

given sin theta= -root 7/4 and theta is in quadrant IV, find the exact value of cos... (answered by lwsshak3)

Find the exact value of {{{sin(2theta)}}} if {{{cos(theta) = -sqrt(5)/3}}} and... (answered by Edwin McCravy)

find the exact value of cos 2 theta given cosine of theta = negative 12 over 13 and theta (answered by stanbon)

given sec theta equals -10 with 180< theta< 270 find and simplify sin theta/2 as an exact (answered by lwsshak3)

Use the given information to determine the exact trigonometric value. If csc(theta)=... (answered by stanbon)

given sin(theta)= -1/5 and tan(theta)< 0, find the exact value of... (answered by richard1234)

If sin(theta) = 7/24' and cos(theta) < 0, find the exact value of tan(theta) (answered by Alan3354)