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The value of sin B - cos A is;

The value of sin B - cos A is; Trigonometrical Ratios, Concise Mathematics Solutions ICSE Class 9.
  1. 12\dfrac{1}{2}

  2. 1

  3. 0

  4. none of these

Trigonometrical Ratios

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Answer

Since ΔABC is a right angled triangle.

By formula,

sin θ = PerpendicularHypotenuse\dfrac{\text{Perpendicular}}{\text{Hypotenuse}} and cos θ = BaseHypotenuse\dfrac{\text{Base}}{\text{Hypotenuse}}.

So, sin B = ACAB=35\dfrac{\text{AC}}{\text{AB}} = \dfrac{3}{5}

cos A = ACAB=35\dfrac{\text{AC}}{\text{AB}} = \dfrac{3}{5}

The value of sin B - cos A = 3535\dfrac{3}{5} - \dfrac{3}{5} = 0.

Hence, option 3 is the correct option.

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