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Mathematics

The value of cos 60° - sin 90° + 2 cos 0° is :

  1. 12\dfrac{1}{2}

  2. 12-\dfrac{1}{2}

  3. 112-1\dfrac{1}{2}

  4. 1121\dfrac{1}{2}

Trigonometrical Ratios

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Answer

Solving,

cos 60° - sin 90° + 2 cos 0° =121+2×1=121+2=12+1=1+22=32=112.\Rightarrow \text{cos 60° - sin 90° + 2 cos 0° } = \dfrac{1}{2} - 1 + 2 \times 1\\[1em] = \dfrac{1}{2} - 1 + 2\\[1em] = \dfrac{1}{2} + 1\\[1em] = \dfrac{1 + 2}{2}\\[1em] = \dfrac{3}{2}\\[1em] = 1\dfrac{1}{2}.

Hence, option 4 is the correct option.

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