Trigonometric EquationMediumBloom L3
Question
Let α, β be such that π < α - β < 3π. If sin α + sinβ = 
and cos α + cos β = , then the value of cos 
is
and cos α + cos β = , then the value of cos isOptions
A.
B.
C.
D.
Solution
sin α + sin β = 
and cos α + cos β = 
Squaring and adding, we get
2 + 2 cos (α - β) =
⇒ cos2
⇒ cos 
and cos α + cos β = Squaring and adding, we get
2 + 2 cos (α - β) =
⇒ cos2
⇒ cos Create a free account to view solution
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