TS EAMCET · Maths · Trigonometric Ratios & Identities
The period of the function \(f(\theta)=\sin \frac{\theta}{3}+\cos \frac{\theta}{2}\) is
- A \(3 \pi\)
- B \(6 \pi\)
- C \(9 \pi\)
- D \(12 \pi\)
Answer & Solution
Correct Answer
(D) \(12 \pi\)
Step-by-step Solution
Detailed explanation
We have, \(f(\theta)=\sin \frac{\theta}{3}+\cos \frac{\theta}{2}\) LCM of 3 and 2 is 6 \(\Rightarrow \quad \frac{\theta}{6}=2 \pi \Rightarrow \theta=12 \pi\) \(\therefore\) Period is \(12 \pi\)
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