Answer :
Let Δ =
By expanding the determinant about the first row.
Δ = cos 15° cos 75° - sin 75° sin 15°
We know that:
cos(A + B) = cos A cos B – sin A sin B
∴ Δ = cos (75 + 15)° = cos 90° = 0
Rate this question :
How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Determinants of Matrices of different order59 mins
Determining a determinant63 mins
Types of Matrices & Properties51 mins
Interactive Quiz on Matrices and Determinants41 mins
Triangular Matrices & operations on matrices58 mins
Know About finding the Adjoint & Inverse Of Matrix46 mins
Interactive Quiz on Properties of Determinants43 mins
Lecture on Product of Determinants58 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
view all courses
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation


RELATED QUESTIONS :
Solve the matrix equations:
Using properties of determinants, prove the following:
Using properties of determinants, prove the following:
Using properties of determinants, prove the following:
Solve the matrix equations: