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Ask iit jee aieee pet cbse icse state board experts Expert Question: Trigonometry
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sachin_gupta_1991 (0)

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Find the value of:
cos 12 + cos 84 + cos156 + cos 288.
(The angles are in degrees.)
    
pirate1_from_jee (596)

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is it 0.478 ????????
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ankur.kkhurana (908)

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the value is -1/2
as we know that
cos(a) + cos( a+d) + cos( a+2d)......=[sin(nd/2)/sin(d/2)][ cos(2a+(n-1)d]

by putting values we get
sin144/sin36 * cos120 = -1/2

adversities cause some men to break other to break records............i m of the other type....... :-)
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ankur.kkhurana (908)

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rate if correct

adversities cause some men to break other to break records............i m of the other type....... :-)
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ankur.kkhurana (908)

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another way is to multiply divide whole term by 2sin12

adversities cause some men to break other to break records............i m of the other type....... :-)
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vinkymarali (204)

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The answer is :
0.4

Rate me ..... :)

Belive in the Best, Have a goal for your Best, Never be satisfied with less than your Best, And in the long run things will turn out for the Best. Always add up the Best.

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ankur.kkhurana (908)

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u people i think are using calculator.May be not bbut prove ur answers

adversities cause some men to break other to break records............i m of the other type....... :-)
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joyfrancis (1504)

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how did you get this?
cos(a) + cos( a+d) + cos( a+2d)......=[sin(nd/2)/sin(d/2)][ cos(2a+(n-1)d]

There is no better feeling in this world than being a winner!
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ankur.kkhurana (908)

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a fourmula though .other way when not using fourmula is also given multiply divide by 2sin12

adversities cause some men to break other to break records............i m of the other type....... :-)
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ankur.kkhurana (908)

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if u haven't heard this ,then this is a useful fourmula.U can always learn new things!!!!!!1

adversities cause some men to break other to break records............i m of the other type....... :-)
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joyfrancis (1504)

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can you prove it?

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