For how many integral values of 39 x 39 sin empty 3x shy 2 4 where 0 deg le empty le 90 deg Options ........

Quantitative Aptitude (CPO) Trignometry

For how many integral values of 'x', sin ∅ = (3x 2)/4, where 0°≤ ∅ ≤ 90°

Options:

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- The given condition is sin Ø = (3x - 2)/4 where 0° = Ø = 90°.

- The range of sin Ø for 0° = Ø = 90° is [0, 1].

- Therefore, (3x - 2)/4 must be within [0, 1].

- Solving 0 = (3x - 2)/4 = 1 gives:

- Lower bound: 0 = (3x - 2)/4 ? 0 = 3x - 2 ? 3x = 2 ? x = 2/3.

- Upper bound: (3x - 2)/4 = 1 ? 3x - 2 = 4 ? 3x = 6 ? x = 2.

- Combining these results, we find that x can take integer values 1 and 2.

Option:1 - 2

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