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 =
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