find the value of cos10.cos30.cos50.cos70.
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Answer:
1/16
Step-by-step explanation:
cos 10°.cos 30°.cos 50°.cos 70°.
cos 30°(cos 10°.cos 50°.cos 70°)
1/2(cos 10°.cos 50°.cos 70°) (equation 1)
(cos 10°.cos 50°.cos 70°)
by using
cos a°.cos (60+a)°.cos(60-a)°=cos 3a°/4
(cos 10°.cos (60-10)°.cos (60+10)°)=(cos 3×10°)/4
cos 30°=1/2
1/2/4=1/8
sub in equation 1
1/2*1/8
1/16
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