Find out the value of cot6°× cot66°× cot42°× cot78° such as the given value is equal to 1.
Morvolo Riddle , 8 Years ago
Grade 11
Trigonometry> Find out the value of cot6°× cot66°× cot4...
1 AnswersVikas TU
Last Activity: 8 Years ago
Here use the identities,
sinA*sin(A+60)*sin(60-A) = sin(3A)/4 and cosA*cos(A+60)*cos(60-A) = cos(3A)/4
Now divide the costerms eqn with sin terms to form the cot relation.
therefore,
cotA*cot(A+60)*cot(60-A) = cot(3A)
Starting with A = 60 degree taking and by adjusting the cot and tan terms by multiplying and dividing U would get 1 as the final answer.
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