cos 1 Degree cos 2 degree cos 3 degree and dash cos 180 degree is equal to zero prove
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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.
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Answer:
answer is 0 ok Thankyou and Mark me brilliant
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