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Mathematics

The value of (sin 30° + cos 30°) - (sin 60° + cos 60°) is

  1. -1

  2. 0

  3. 1

  4. 2

Trigonometrical Ratios

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Answer

Solving,

(sin 30° + cos 30°) - (sin 60° + cos 60°)=(12+32)(32+12)=12+323212=0.\text{(sin 30° + cos 30°) - (sin 60° + cos 60°)} = \Big(\dfrac{1}{2} + \dfrac{\sqrt{3}}{{2}}\Big) - \Big(\dfrac{\sqrt{3}}{2} + \dfrac{1}{2}\Big) \\[1em] = \dfrac{1}{2} + \dfrac{\sqrt{3}}{2} - \dfrac{\sqrt{3}}{2} - \dfrac{1}{2} \\[1em] = 0.

Hence, Option 2 is the correct option.

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