JEE Mains · Maths · STD 11 - 3. trignometrical ratios,functions and identities
The value of \(sin\,10^o\) \(sin\,30^o\) \(sin\,50^o\) \(sin\,70^o\) is
- A \(\frac{1}{{36}}\)
- B \(\frac{1}{{32}}\)
- C \(\frac{1}{{18}}\)
- D \(\frac{1}{{16}}\)
Answer & Solution
Correct Answer
(D) \(\frac{1}{{16}}\)
Step-by-step Solution
Detailed explanation
\(\sin \,{10^o}\,\sin \,{30^o}\,\sin \,{50^o}\,\sin \,{70^o}\) \( = \,\,\sin \,{10^o}\,\sin \,{30^o}\,\sin \,{50^o}\,\sin \,{70^o}\) \( = \,\,\sin \,{30^o}\,\{ \sin \,{10^o}\sin \,({60^o} - {10^o})\,\sin ({60^o} + {10^o})\,\} \)…
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