given sin theta=4/5 with 90 dgreess less than or equal to thata less than or equal to 180 degress
find exact value of : sin theta/2
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OpenStudy (anonymous):
\[\sin \theta=\ 4/5 \ with 90 degreess\] =\[180 degreess \]
so its 1:2
OpenStudy (anonymous):
huh?
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
u=(2 cos pi/4)i + (2 sin pi/4)j, v = (cos 3pi/2)i + (sin 3pi/2)j find the angle theta .... If sin theta equals two third and zero degrees less than theta less than 90
OpenStudy (anonymous):
ok
tnaks
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OpenStudy (anonymous):
yes i need help
OpenStudy (kropot72):
sin theta = 4/5 = 0.8
sin^-1 theta = 53.13010235 degrees
sin (53.13010235/2) = 0.447213595
OpenStudy (anonymous):
no but not indecimals
OpenStudy (anonymous):
do it in a graph
OpenStudy (kropot72):
I have the answer:
sin (theta/2) = Square root (1/5)
Do you want to know the method?
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OpenStudy (kropot72):
The length of the remaining side of the triangle is:
square root of (5^2 - 4^2) = 3
Then use the formula for the sine of the half angle:
sin (theta/2) = square root (((s - b)(s - c))/bc))
Where s = 1/2(a + b + c)