if sin bracket a + b + c is equals to 1 tan A-B is equals to one upon root 3 Cos A + C
is equals to half then find the value of C using the values of trigonometric ratios
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sin(a+b+c) = 1 .....(1) as sin90 = 1
tan(a-b) = 1/√3 ....(2) as tan30 = 1/√3
cos(a+c) = 1/2 ....(3) as cos60 = 1/2
from ...(1)
we get
a + b + c = 90 ....(4)
and
from ...(2)
a-b= 30 .....(5)
and from ..(3)
a+c = 60 ....(6)
by putting a+c = 60. in eqn ....(4)
we get
b= 30
now put this in eqn ...(5)
we get
a= 60
now put this in eqn ...(6)
we get
c = 0
so the value of c is 0
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