Math, asked by Tarunkumarshiralkopp, 10 months ago

Show that cot(180/20)cot(3*180/20)cot(5*180/20)cot(7*180/20)cot(9*180/20)=1

Answers

Answered by balaji437Qre
0

Answer:

after simplication we get that answer

Attachments:
Answered by dhruvkaushik305
1

Answer:

hence proved

Step-by-step explanation:

we can write it as cot9. cot27. cot45. cot63. cot81. (convert the expression in the brackets of angle in the question).

convert cot9 and cot27 to their complement which is tan81 and tan63.

Also cot is reciprocal of tan so tan81 and cot81 will get cancelled.Similarly tan63 and cot63.

Now only cot45 will be left which is already 1(value from trignometric table).

Hence proved.

pls mark for the brainliest

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