Math, asked by angel84, 1 year ago

cot15° cot20° cot30° cot60° cot70° cot75°=......

Answers

Answered by Ankit1408
11
hello users ...

We know that:-
cot(90°- x) = tan x
And
tan x * cot x = 1 

Solution:-
Cot 15° cot 20° cot 30° cot 60° cot 70° cot 75°

= cot(90
°- 75°) cot (90°- 70°) cot(90°- 60°) cot 60° cot 70° cot 75° 

= tan 75° tan 70° tan 60° cot 60° cot 70° cot 75°

= (tan 75° cot 75°) * (tan 70° cot 70°) * (tan 60° cot 60°)

= 1 * 1 * 1 = 1 Answer 

# hope it helps :)

angel84: a. 2+√3 b. 2-1 c. 2-√3 d. 2+1
Ankit1408: here, option b is right .
Ankit1408: 2 -1 = 1
Ankit1408: understand??
angel84: how
Ankit1408: 2 minus 1 = 1 , which is the required answer .See explanation !!
Ankit1408: when we subtract 1 from 2 i.e. ( 2 - 1 ) is equal to 1
Anonymous: hehe
Anonymous: :)
Anonymous: 2-1 = 1 <---- Prove... Lol
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