Question

Write the value of sin(45°+a)-cos(45°-a)

Answer 1

$\huge\bold{Solution}$

Sin(45° + a) - Cos(45°- a)

=> Sin45°Cosa + Cos45°Sina - ( Cos45°Cosa + Sin45°Sina)

=> Sin45°Cosa + Cos45°Sina - Cos45°Cosa - Sin45°Sina

=> (1/√2)Cosa + (1/√2)Sina - (1/√2)Cosa - (1/√2)Sina

After solving this we get,

= 0
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Answer 2

$\huge{\underline{\mathbb{\red{Answer}}}}$

Sin(45° + a) - Cos(45°- a)

=> Sin45°Cosa + Cos45°Sina - ( Cos45°Cosa + Sin45°Sina)

=> Sin45°Cosa + Cos45°Sina - Cos45°Cosa - Sin45°Sina

=> (1/√2)Cosa + (1/√2)Sina - (1/√2)Cosa - (1/√2)Sina

On solving,

= 0