SOLUTION: cosine s = 12/13
sine t = 4/5
Sin (s+t)=
Algebra.Com
Question 1079467: cosine s = 12/13
sine t = 4/5
Sin (s+t)=
Found 2 solutions by Alan3354, solver91311:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
cosine s = 12/13
sine t = 4/5
-----------
Use sin^2 + cos^2 = 1 to find sin(s) and cos(t)
----
Then, sin(s+t) = sin(s)*cos(t) + sin(t)*cos(s)
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
If \ =\ \frac{12}{13})
then \ =\ \frac{144}{169})
. Then \ =\ \frac{144}{169})
, \ =\ \frac{25}{169})
, and finally \ =\ \pm\frac{5}{13})
Similarly, from \ =\ \frac{4}{5})
you can derive \ \pm\frac{3}{5})
\ =\ \sin(s)\cos(t)\ +\ \sin(t)\cos(s))
Plug in the numbers and do the arithmetic. You will get two solutions because \cos(t))
will be one sign or the other depending on the signs of )
and )
John
My calculator said it, I believe it, that settles it
RELATED QUESTIONS
use the cosine of a sum and cosine of a difference identities to find cos(s+t) and... (answered by ikleyn)
use the cosine of a sum and cosine of a difference identities to find cos (s+t) and cos... (answered by greenestamps)
Sin s= 3/5 sin t= 12/13 quadrant... (answered by MathLover1,ikleyn)
Find sin (s+t) and cos (s+t) where sin(s)=3/5 and sin(t)=-12/13,in quadrant 1 and t in... (answered by lwsshak3)
Find: sin (s+t), cos (s-t), tan (s+t), the quadrant of (s+t)
Given: {{{ sin s = 3/5 }}} (answered by ikleyn)
can you help solve 1.- sin 4x=4sinxcosxcos2x 2.- tan(x-45grades)+... (answered by solver91311)
for each of the following find the reference arc and the values of cosine and sine of... (answered by ikleyn,josgarithmetic)
Find the exact solution when given sinS= 3/5 and cosT = -5/13 where S is in quadrant 2... (answered by ikleyn)
Let sin s = (-1/4), with s in quadrant 4 and cos t = (-4/5), with t in quadrant 2.
Find (answered by stanbon,josmiceli)