Question

Evaluate : (sin30° + cos30°) – (sin 60° + cos60°)

Answer 1

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(sin30° + cos30°) – (sin 60° + cos60°)

=> sin30 = ½

=> sin60 = √3/2

=> cos30 = √3/2

=> cos60 = ½

=> (½+√3/2) - (√3/2+½)

=> 1 + √3/2 - √3 + ½

=> 1 + 1 + √3 - √3/2

=> 2/2

=> 1

Answer 2

Step-by-step explanation:

Solution:-

(sin30° + cos30°) – (sin 60° + cos60°)

$=( \frac{1}{2} + \frac{ \sqrt{3} }{2} ) - ( \frac{ \sqrt{3} }{2} + \frac{1}{2} ) \\ = \frac{1}{2} + \frac{ \sqrt{3} }{2} - \frac{ \sqrt{3} }{2} - \frac{1}{2} \\ = 0$

The formulas used here are:-

sin 30° = 1/2

cos 30° = √3 /2

sin 60° = √3 /2

cos 60° = 1/2