Prove cosec2A-cot2A=tanA

Cosec2A - cot2A= tanA
Left hand side=1/sin2A - cos2A/sin2A
=(1- cos2A)/sin2A
=(1-(1- 2 sin^2⁡ A)/ 2sinAcosA
=(1-1 + ( 2 sin^2⁡ A))/ 2sinAcosA
=sinA/cosA
=tanA
Therefore left hand side of the equation is equal to the right hand side as proved above.

ST
Answered by Sherin T. Maths tutor

13861 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

a) Differentiate and b) integrate f(x)=xcos(2x) with respect to x


Suppose a population of size x experiences growth at a rate of dx/dt = kx where t is time measured in minutes and k is a constant. At t=0, x=xo. If the population doubles in 5 minutes, how much longer does it take for the population to reach triple of Xo.


How can we solve a two-equation, two-unknown values?


Find dy/dx for y=5x^3−2x^2+7x−15


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning