AP EAMCET · Maths · Trigonometric Ratios & Identities
If \(\cos ^3 \mathrm{x} \sin 4 \mathrm{x}=\sum_{\mathrm{r}=0}^{\mathrm{n}} \mathrm{a}_{\mathrm{r}} \sin \mathrm{rx} \forall \mathrm{x} \in \mathbb{R}\), then \(a_3+a_5: a_1+a_7=\)
- A \(1: 3\)
- B \(1: 1\)
- C \(2: 1\)
- D \(3: 1\)
Answer & Solution
Correct Answer
(D) \(3: 1\)
Step-by-step Solution
Detailed explanation
\(\cos ^3 x \cdot \sin 4 x=\frac{1}{2}(2 \sin 4 x \cdot \cos x) \cos ^2 x\)…
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