# If show that F(x) . F(y) = F(x + y).

Given :

To show : F(x) . F(y) = F(x + y).

Formula used :

If A is a matrix of order a b and B is a matrix of order c d ,then matrix AB exists and is of order a d ,if and only if b = c

F(x) =

F(y) =

F(x + y) =

F(x) . F(y) = .

=

F(x) . F(y) =

We know that,

cosx(cosy) – sinx (siny) = cos(x+y) and -cosx(siny) - sinx(cosy) = -sin(x+y)

F(x) . F(y) =

F(x + y) = F(x) . F(y) =

F(x + y) = F(x) . F(y)

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Triangular Matrices & operations on matrices58 mins
Determining a determinant63 mins
Types of Matrices & Properties51 mins
Determinants of Matrices of different order59 mins
Lecture on Product of Determinants58 mins
Interactive Quiz on Properties of Determinants43 mins
Test Yourself, Properties of Determinants30 mins
Interactive Quiz on Matrices & Determinants48 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