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Mathematics

The value of 1 - tan245°1 + tan245°\dfrac{\text{1 - tan}^2 45°}{\text{1 + tan}^2 45°} is equal to

  1. tan 60°

  2. tan 30°

  3. sin 45°

  4. tan 0°

Trigonometrical Ratios

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Answer

Solving,

1 - tan245°1 + tan245°=111+1=0=tan 0°.\Rightarrow \dfrac{\text{1 - tan}^2 45°}{\text{1 + tan}^2 45°} = \dfrac{1 - 1}{1 + 1} \\[1em] = 0 \\[1em] = \text{tan 0°}.

Hence, Option 4 is the correct option.

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