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