The value of $$cos$$⁡π$$15cos$$⁡$$2$$$$π$$$$15cos$$⁡$$3$$$$π$$$$15cos$$⁡$$4$$$$π$$$$15cos$$⁡$$5$$$$π$$$$15cos$$⁡$$6$$$$π$$$$15cos$$⁡$$7$$$$π$$$$15$$, is

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The value of $$cos$$⁡π$$15cos$$⁡$$2$$$$π$$$$15cos$$⁡$$3$$$$π$$$$15cos$$⁡$$4$$$$π$$$$15cos$$⁡$$5$$$$π$$$$15cos$$⁡$$6$$$$π$$$$15cos$$⁡$$7$$$$π$$$$15$$, is

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We have,$$cos$$⁡π$$15cos$$⁡$$2$$$$π$$$$15cos$$⁡$$3$$$$π$$$$15cos$$⁡$$4$$$$π$$$$15cos$$⁡$$5$$$$π$$$$15cos$$⁡$$5$$$$π$$$$15cos$$⁡$$6$$$$π$$$$15cos$$⁡$$7$$$$π$$$$15=$$$$cos$$⁡π$$15cos$$⁡$$2$$$$π$$$$15cos$$⁡$$4$$$$π$$$$15cos$$⁡$$7$$$$π$$$$15$$×$$cos$$⁡$$3$$$$π$$$$15cos$$⁡$$6$$$$π$$$$15$$×$$cos$$⁡$$5$$$$π$$$$15=$$$$cos$$⁡π$$15cos$$⁡$$2$$$$π$$$$15cos$$⁡$$4$$$$π$$$$15cos$$⁡π−$$8$$$$π$$$$15cos$$⁡$$3$$$$π$$$$15cos$$⁡$$6$$$$π$$$$15$$                                                                                   ×$$cos$$⁡π$$3=$$−$$cos$$⁡π$$15cos$$⁡$$2$$$$π$$$$15cos$$⁡$$4$$$$π$$$$15cos$$⁡$$8$$$$π$$$$15$$×$$cos$$⁡$$3$$$$π$$$$15cos$$⁡$$6$$$$π$$$$15$$×$$12=$$$$sin$$⁡$$24$$×π$$1524sin$$⁡π$$15$$×$$sin$$⁡$$22$$×$$3$$$$π$$$$1522sin$$⁡$$3$$$$π$$$$15$$×$$12=$$−$$sin$$⁡$$16$$$$π$$$$1516sin$$⁡π$$15$$×$$sin$$⁡$$12$$$$π$$$$154sin$$⁡$$3$$$$π$$$$15$$×$$12=116$$×$$14$$×$$12=127$$

The value of cos⁡π15cos⁡2π15cos⁡3π15cos⁡4π15cos⁡5π15cos⁡6π15cos⁡7π15, is

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