The value of sin 14 π sin 14 3 π sin 14 5 π is

Put x = 1 ⇒ sin ( 14 π ) sin ( 14 3 π ) sin ( 14 5 π ) = 8 1

Mathematics - Trigonometric Ratios & Identities Question with Solution | TestHub

MathematicsTrigonometric Ratios & IdentitiesMiscellaneous/MixedMedium2 minQB

MathematicsMediumsingle choice

Passage / Comprehension

Let $cos \frac{π}{7}, cos \frac{3 π}{7}, cos \frac{5 π}{7}$ are the roots of equation $8 x^{3} - 4 x^{2} - 4 x + 1 = 0$

The value of $sin \frac{π}{14} sin \frac{3 π}{14} sin \frac{5 π}{14}$ is

Answer:

Solution:

Put $x = 1 \Rightarrow sin (\frac{π}{14}) sin (\frac{3 π}{14}) sin (\frac{5 π}{14}) = \frac{1}{8}$

Stream:JEESubject:MathematicsTopic:Trigonometric Ratios & IdentitiesSubtopic:Miscellaneous/Mixed

⏱ 2mℹ️ Source: QB

Loading discussions...