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Implicit Differentiation

36. If sin al...

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36. If sin alpha + sin beta is equal to a and cos alpha + cos beta is equal to b then find value of cos alpha + beta and sin alpha + beta

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c o s α + c o s β = a, s i n α + s i n β = b

c o s (α - β)

sin α + sin β = a, cos α + cos β = b

cos (α + β)

a = cos α cos β + sin α sin β cos γ

b = cos α sin β - sin α cos β cos γ

c = sin α sin γ

a^{2} + b^{2} + c^{2}

cos (θ - α) = a

sin (θ - β) = b

{cos}^{2} (α - β) + 2 a b sin (α - β)

x = sin α, y = sin β, z = sin (α + β)

cos (α + β)

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