Q61 / 160 · TS EAMCET 2020 (11 Sep Shift 2) · Mathematics

The period of $\cos (3 x+5)+7$ is

  • A
    $\frac{2 \pi}{5}$
  • Correct answer
    B
    $\frac{2 \pi}{3}$
  • C
    $\frac{2 \pi}{15}$
  • D
    $\frac{2 \pi}{7}$

Solution

Given, $\cos (3 x+5)+7$ $\therefore \quad$ Period $=\frac{2 \pi}{|3|}\{\because$ Period of $\cos (a x+b)+c$ $\left.=\frac{2 \pi}{|a|}\right\}$ Period $=\frac{2 \pi}{3}$

Hence, the correct answer is option: 'B'.

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