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evaluate cos20° * cos40° * cos80°  without using calculator

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cos20° * cos40° * cos80°  without using calculator
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we are going to use sin2x =2sinx cosx
so introduce a 2sin20°
and use the above formula again and again
by introducing 2 whenever necessary
finally ending with sin 160
°which is the same as
sin
20° using sin(180°-20°) formula
answer and  some steps are given below
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trig. formulae





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