JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

1 Hard

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Analyzing +4 | -1

\left| {\,\cos \,\,\theta \,\,\left\{ {\,\sin \,\,\theta + \sqrt {{{\sin }^2}\,\,\theta + {{\sin }^2}\,\,\alpha } } \right\}\,} \right| \le k

, then the value of

k

View answer and explanation

Correct option: B

\sqrt {1 + {{\sin }^2}\,\,\alpha }

Option B (

\sqrt {1 + {{\sin }^2}\,\alpha }

) is correct because it represents the maximum value of the given expression, derived using trigonometric manipulations and inequalities.

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