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AP EAMCET20227 Jul 2022Evening ShiftMathematicsThree Dimensional GeometryActual

A ray makes angles 3 and 4 with Y and Z -axes respectively. Then, the value of the sine of the angle made by the ray with X -axis is

Options

  1. A3 2
  2. B1 2
  3. C1 2
  4. D1

Correct answer

A. 3 2

Step-by-step solution

If , , are angles made by a ray with X, Y and Z -axes respectively, then ^2 + ^2 + ^2 =1 aligned & ^2 + ^2 ( 3 )+ ^2 ( 4 )=1 & ^2 =1- 1 4 - 1 2 = 1 4 & = 1 2 & = 1- 1 4 = 3 2 aligned

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