Trigonometric EquationHard
Question
cot-1(
) = tan-1(
) = x, then sinx =
) = tan-1(
) = x, then sinx =Options
A.tan2

B.cot2

C.tan α
D.cot

Solution
cot-1(
) - tan-1(
) = x
tan-1
- tan-1 (
) = x ⇒ tan-1
⇒ tan-1
= x ⇒ tan x =
OR cot x =
or cosec x =
sin x =
or sin x = tan2 
) - tan-1(
) = xtan-1
- tan-1 (
) = x ⇒ tan-1
⇒ tan-1
= x ⇒ tan x =
OR cot x =
or cosec x =
sin x =
or sin x = tan2 
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