if sina=1/2 and sinb=1/3 then find the values of sin(a+b) and sin(2a+2b)
if sina=1/2 and sinb=1/3 then find the values of sin(a+b) and sin(2a+2b)
P Manivardhan , 3 Years ago
Grade 10
Trigonometry> if sina=1/2 and sinb=1/3 then find the va...
1 Answersharsh katara
Last Activity: 3 Years ago
given, sin(a) =1/2
sin(b) = 1/3
we know sin2(
)+cos2() = 1
cos() =[1-sin2()]1/2
therefore
cos (a)=root 3 upon 2
cos(b)=2root 2 upon 3
now we also know 
(a+b) = sina cosb + cosa sinb
= ½* 2root2/3 + root3/2 *1/3
=2root2/6 +root3/6 ANS.
now we also know sin(2)= 2sincos
sin[2(a+b)]= 2sin(a+b) cos(a+b)
2(2root2+root3)(36-2root2-root3)/36 ANS.
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