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.
Provide a better Answer & Earn Cool Goodies
LIVE ONLINE CLASSES
Prepraring for the competition made easy just by live online class.
Full Live Access
Study Material
Live Doubts Solving
Daily Class Assignments
Ask a Doubt
Get your questions answered by the expert for free
Other Related Questions on trigonometry
In ABC, if cot A+cot B+cot C = cosecA cosecB cosecC, then prove that ABC is right angle triangle.
In ABC, if cot A+cot B+cot C = cosecA cosecB cosecC, then prove that ABC is right angle triangle.
trigonometry
1 Answer Available
Last Activity: 2 Years ago
- Find the general solution of equation tan3∂=cot2∂
For all angles between -720 and +720
- Find the general solution of equation tan3∂=cot2∂
For all angles between -720 and +720
trigonometry
0 Answer Available
Last Activity: 3 Years ago
To prove : Cosec(45 degree - A)Cosec(45 degree + A) = 2SecA
To prove : Cosec(45 degree - A)Cosec(45 degree + A) = 2SecA
trigonometry
0 Answer Available
Last Activity: 3 Years ago
cos^2 13ºcos^2 47º+cos^2 73º =? …..................
cos^2 13ºcos^2 47º+cos^2 73º =? …..................
trigonometry
0 Answer Available
Last Activity: 3 Years ago
Derive a formula for the area of the triangle, given b, A, B, and C. That is, derive the formula: (b^2sinAsinC)/(2sinB)
Derive a formula for the area of the triangle, given b, A, B, and C. That is, derive the formula: (b^2sinAsinC)/(2sinB)
trigonometry
0 Answer Available
Last Activity: 3 Years ago