JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

1 Easy

1 of 1

Analyzing +4 | -1

For all values of

\theta

, the values of

3 - \cos \,\,\theta + \cos \,\,\left( {\theta + \frac{\pi }{3}} \right)

lie in the interval

View answer and explanation

Correct option: C

\begin{array}{llllllllllllllllllll} {\left[ {\mathrm{2, }\,\mathrm{4}} \right]} \end{array}

Option C ([2, 4]) is correct because the expression simplifies to 3 - sin(θ + π/6), and since -1 ≤ sin(θ + π/6) ≤ 1, the range is [2, 4].

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