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[" Hence,"C=(4)/(4)],[" If "alpha" and "beta" are acte angles such that "alpha+beta=lambda," where "lambda" is a "],[" If "alpha" and "beta" are acte angles such that "alpha+beta=lambda," where "lambda" is a "],[" constant,fare the maximum possible value of the expression,"],[sin alpha+sin beta+cos alpha+cos beta],[" Sol."sin alpha+sin beta+cos alpha+cos beta]

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If alpha and beta are acute angles such that alpha+beta=lamda , where constant, find the maximum possible value of the expression sin alpha+sin beta+cos alpha+cos beta .

If alpha and beta are acute angles such that alpha+beta=lamda , where constant, find the maximum possible value of the expression sin alpha+sin beta+cos alpha+cos beta .

The expression (sin alpha+ sin beta)/(cos alpha+cos beta) is equal to:

2 sin ^(2) beta + 4 cos (alpha + beta) sin alpha sin beta + cos 2 (alpha + beta )=

A = [[0, sin alpha, sin alpha sin beta-sin alpha, 0, cos alpha cos beta-sin alpha sin beta, -cos alpha cos beta, 0]]

(cos alpha + cos beta)/( sin alpha - sin beta) + (sin alpha + sin beta)/( cos alpha - cos beta ) =

Evaluate: quad =|cos alpha cos beta cos alpha sin beta-sin alpha-sin beta cos beta0sin alpha cos beta sin alpha sin beta cos alpha|

det[[cos alpha cos beta,cos alpha sin beta,-sin alpha-sin beta,cos beta,0sin alpha cos beta,sin alpha sin beta,cos alpha]]