Let $$f($$θ$$)=$$$$sin$$⁡θ$$sin$$⁡$$3$$θ$$sin$$⁡$$5$$θ , then $$f($$π$$/14)$$ is equal to

Question

Let $$f($$θ$$)=$$$$sin$$⁡θ$$sin$$⁡$$3$$θ$$sin$$⁡$$5$$θ , then $$f($$π$$/14)$$ is equal to

Infinity Learn · Accepted Answer

As π$$14$$−π$$2$$−$$3$$$$π$$$$7$$,$$3$$$$π$$$$14$$−π$$2$$−$$2$$$$π$$$$7$$ and $$5$$$$π$$$$14=$$π$$2$$−π$$7$$ , we can write   f$$π$$$$14=$$$$cos$$⁡$$3$$$$π$$$$7cos$$⁡$$2$$$$π$$$$7cos$$⁡π$$7$$⇒ $$2sin$$⁡π$$7f$$$$π$$$$14=$$$$sin$$⁡$$2$$$$π$$$$7cos$$⁡$$2$$$$π$$$$7cos$$⁡$$3$$$$π$$$$7$$⇒ $$4sin$$⁡π$$7f$$$$π$$$$14=$$$$sin$$⁡$$4$$$$π$$$$7cos$$⁡$$3$$$$π$$$$7$$⇒ $$8sin$$⁡π$$7f$$$$π$$$$14=$$$$sin$$⁡$$7$$$$π$$$$7+$$$$sin$$⁡π$$7=$$$$sin$$⁡π$$7$$⇒ f$$π$$$$14=18$$

Let $f (θ) = s i n θ s i n 3 θ s i n 5 θ$ , then $f (π / 14)$ is equal to

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Let f(θ)=sin⁡θsin⁡3θsin⁡5θ , then f(π/14) is equal to

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Let $f (θ) = s i n θ s i n 3 θ s i n 5 θ$ , then $f (π / 14)$ is equal to