Given that d/dx(cosx)=-sinx show that d/dx(secx)=secx(tanx)

let y=sec(x) = 1/(cos(X)) = cos(x)-1

Thus dy/dx = -1(cos(x))-2(-sinx) = sin(x)/(cos(x))2

= 1/cos(x)  x  sin(x)/cos(x)

=sec(x)tan(x)

OD

Related Maths A Level answers

All answers ▸

Find the integral of 1/(x-5) with respect to x


In a triangle ABC, side AB=10 cm, side AC=5cm and the angle BAC=θ, measured in degrees. The area of triangle ABC is 15cm(sq). Find 2 possible values for cosθ and the exact length of BC, given that it is the longest side of the triangle.


Solve the simultaneous equations: y - 3x + 2 = 0 y^2 - x - 6x^2 = 0


How to integrate and differentiate ((3/x^2)+4x^5+3)