Question

The value of cot lº + cot2 + cot3° + cot4 +............ + cot179 is equal to​

Answer 1

Step-by-step explanation:

cot1°+ cot2°+cot3°+cot4°+..............+ cot179°

means

cot(1+2+3+4+.......179)

first solve underlined part

it is in A.P

therfore

using formula of sum of n th term

Sn = n [t1 +tn]

2

Sn= n [1+179]

2

Sn = 179 * 180

2

Sn = 179 * 90

Sn = 16,110

therefore

cot(16110)

=0

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