Trigonometric EquationMedium
Question
The angle at which the curve y = kekx intersect the y-axis is/are -
Options
A.tan-1(k2)
B.cot-1(k2)
C.sin-1
D.sec-1
Solution
The curve y = k.ekx intersect the y- axis at the point (0,k) also 
= k2 = tan θ,
where θ, is the anlge made by the tangent with the x-axis.
∴ Angle made by the curve with the y-axis =
- θ
= - tan-1 k2 = cot-1k2 = sin-1 
= k2 = tan θ, where θ, is the anlge made by the tangent with the x-axis.
∴ Angle made by the curve with the y-axis =
- θ=
- tan-1 k2 = cot-1k2 = sin-1 Create a free account to view solution
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