cos(π/4+α)+sin(π/4+α) ,,
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cos(π/4+α)+sin(π/4+α) ,,
![cos(π/4+α)+sin(π/4+α) ,,](/uploads/image/z/20194437-21-7.jpg?t=cos%28%CF%80%2F4%2B%CE%B1%29%2Bsin%28%CF%80%2F4%2B%CE%B1%29+%2C%2C)
cos(π/4+α)+sin(π/4+α)
=√2[√2/2cos(π/4+α)+√2/2sin(π/4+α) ]
=√2[sinπ/4*cos(π/4+α)+cosπ/4*sin(π/4+α) ]
=√2sin(π/2+α)
=√2cosα
=√2[√2/2cos(π/4+α)+√2/2sin(π/4+α) ]
=√2[sinπ/4*cos(π/4+α)+cosπ/4*sin(π/4+α) ]
=√2sin(π/2+α)
=√2cosα
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