sinA+sinB=3. andcosA+cosB=4 find sin(A+B)and tan(A+ B)
Sid , 9 Years ago
Grade 11
Trigonometry> sinA+sinB=3. and cosA+cosB=4 find sin(A+B...
3 Answersdivya
Last Activity: 9 Years ago
sinA+sinB=3
2sin{(A+B)/2}cos{(A-B)/2}=3
cosA+cosB=4
2cos{(A+B)/2}cos{(A-B)/2}=4
on dividing by;we get
tan{(A+B)/2}=3/4
as we know tanQ={2tan(Q/2)}/{1-tan(Q/2)tan(Q/2)}
now putting Q=A+B,we will get the value of tan(A+B)
also tanQ=sinQ/(1-sinQsinQ) thus from the you can find the value of sin(A+B)
abhignya
Last Activity: 9 Years ago
a = 5 , b=6 ,sinA=5/6 then B =
divya
Last Activity: 9 Years ago
in this question,sinA+sinB=3 (given)
therefore,when sinA=5/6
sinB=3 – 5/6=13/6
B=sin-1(13/6)
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