If the rate of change of sine of an angle $\theta $ is $k$, then the rate of change of its tangent is

JEE MATHEMATICS MCQ: TANGENTS & NORMALS

1 Easy

1 of 1

Application +4 | -1

If the rate of change of sine of an angle

\theta

k

, then the rate of change of its tangent is

View answer and explanation

Correct option: B

\frac{1}{{{k^2}}}

Option B (

\frac{1}{{{k^2}}}

) is correct because it is derived by finding the derivative of tan(

\theta

) with respect to

\theta

and using the given rate of change of sin(

\theta

Practice All Chapter MCQs →

a

y=x^3-a x

x^2 y=1-y

x y=1-y

C

y^3-3 x y+2=0

H

\mathrm{C}

x

V

C

y

y-e^{x y}+x=0

y = f\left( x \right)

x

x = a\left( {\theta - \sin \theta } \right),\;y = a\left( {1 + \cos \theta } \right)

\theta = \left( {2k + 1} \right)\pi ,\;k \in Z