A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Find the principal and general solutions of the following equations: cosec x = -2
Solution:
It is given that cosec x = -2.
We know that cosec is negative in the third and the fourth quadrants.
We know that cosec π/6 = 2.
In the third quadrant, x = π + π/6 = 7π/6 as cosec 7π/6 = cosec (π + π/6) = -cosec π/6 = -2.
In the fourth quadrant, x = 2π - π/6 = 11π/6 as cosec 11π/6 = cosec (2π - π/6) = -cosec π/6 = -2.
Thus, the principle solutions are: x = 7π/6, and 11π/6.
Now,
cosec x = cosec 7π/6
sin x = sin 7π/6
Therefore, x = nπ +(-1)n 7π/6, where n∈Z is the general solution.
NCERT Solutions Class 11 Maths Chapter 3 Exercise 3.4 Question 4
Find the principal and general solutions of the following equations: cosec x = -2
Summary:
The principal solutions are x = 7π/6 and 11π/6 and the general solution is x = nπ +(-1)n 7π/6, where n∈Z.
Math worksheets and
visual curriculum
visual curriculum