Advertisement Remove all ads

If Cos θ + Cot θ = M and Cosec θ – Cot θ = N, Prove that Mn = 1 - Mathematics

If cos θ + cot θ = m and cosec θ – cot θ = n, prove that mn = 1

Advertisement Remove all ads

Solution

LHS = mn

`= (cosec theta + cot theta) (cosec theta - cot theta)`

`= cosece^2 theta - cot^2 theta`

= 1    [∵ `(1 + b)(a - b) = a^2 - b^2 cosec^2 theta - cot^2 theta = 1`]

=RHS

  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

RD Sharma Class 10 Maths
Chapter 11 Trigonometric Identities
Exercise 11.1 | Q 81 | Page 47
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×