Q. 1 B

Find the general solutions of the following equations :


Answer :


Ideas required to solve the problem:


The general solution of any trigonometric equation is given as –


• sin x = sin y, implies x = nπ + (– 1)ny, where n Z.


• cos x = cos y, implies x = 2nπ ± y, where n Z.


• tan x = tan y, implies x = nπ + y, where n Z.


Given,



We know that, cos 150° =



If cos x = cos y then x = 2nπ ± y, where n Z.


For above equation y = 5π / 6


x = 2nπ ± 5π / 6 ,where n ϵ Z


Thus, x gives the required general solution for the given trigonometric equation.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Interactive Quiz on trigonometric identities & equations52 mins
Conditional Identities31 mins
Trigonometric Functions - 0152 mins
Trigonometric Series45 mins
Trigonometric Functions - 0568 mins
Trigonometric Functions - 0658 mins
Trigonometric Functions - 0366 mins
Interactive Quiz on trigonometric ratios & identities73 mins
Trigonometric Functions - 0268 mins
Trigonometric Functions - 0466 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses