If tan(A+B)=ROOT 3 and sin A =1/ root 2 then find the value of B radian.
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Tan(A+B)=Tan(60). because Tan(60)=√3
Sin(A)=Sin(45). because Sin(45)=1/√2
Cancelling Tan both sides.
A+B=60..... equation 1
Cancelling Sin on both sides
A=45..... equation 2
Now put value of a in equation 1
B=15
To convert it into radians Multiple by. π/180
B=15×π/180
B=π/12
Tan(A+B)=Tan(60). because Tan(60)=√3
Sin(A)=Sin(45). because Sin(45)=1/√2
Cancelling Tan both sides.
A+B=60..... equation 1
Cancelling Sin on both sides
A=45..... equation 2
Now put value of a in equation 1
B=15
To convert it into radians Multiple by. π/180
B=15×π/180
B=π/12
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