Prove the identity: (sinx - tanx)(cosx - cotx) = (sinx - 1)(cosx - 1)

(sinx - tanx)(cosx - cotx)= (sinx - sinx/cosx)(cosx - cosx/sinx)= sinxcosx - (sinx + cosx) + 1= (sinx - 1)(cosx - 1)

CP
Answered by Charlie P. Maths tutor

4051 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

differentiate x^2 + y^3 + xy respect to x


How would you differentiate f(x) = 2x(3x - 1)^2 using the chain rule?


A curve has equation y = 6ln(x) + x^2 -8x + 3. Find the exact values of the stationary points.


Find the values of x such that: (log3(81)+log2(32))/(log2(x)) = log2(x) (5 marks)


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:

© 2025 by IXL Learning