Math, asked by deepak7531, 11 months ago

cos 1 Degree cos 2 degree cos 3 degree and dash cos 180 degree is equal to zero prove​

Answers

Answered by Agastya0606
3

Given: The expression cos 0 x cos 1 x cos 2 x cos 3 x .......cos 180 = 0

To find: Prove that the product is 0.

Solution:

  • Now we have given the term:

                 cos 0 x cos 1 x cos 2 x cos 3 x cos 4 x .......cos 180

  • Now we know the value of some special degrees as:

                 cos 0 = 1

                 cos 30 = √3/2

                 cos 45 = 1/√2

                 cos 60 = 1/2

                 cos 90 = 0

  • But the value of cos 90 is 0.
  • We know that when 0 is multiplied to any term, the answer is 0.
  • So:

                 = cos 0 x cos 1 x cos 2 x cos 3 x cos 4 x .......cos 180

                 = cos 0 x cos 1 x cos 2 x cos 3 x cos 4 x ....x 0 x ...cos 180

                 = 0

                Hence proved.

Answer:

                So we proved that cos 0 x cos 1 x cos 2 x cos 3 x cos 4 x .......cos 180 = 0.

Answered by sajanpreetsing85
0

Answer:

answer is 0 ok Thankyou and Mark me brilliant

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