Maharashtra State BoardHSC Science (General) 11th
Advertisement Remove all ads

Simplify, cosθ[cosθsinθ-sinθcosθ]+sinθ[sinθ-cosθcosθsinθ] - Mathematics and Statistics

Sum

Simplify, `costheta[(costheta, sintheta),(-sintheta, costheta)] + sintheta[(sintheta, -costheta),(costheta, sintheta)]`

Advertisement Remove all ads

Solution

`costheta[(costheta, sintheta),(-sintheta, costheta)] + sintheta[(sintheta, -costheta),(costheta, sintheta)]`

= `[(cos^2theta, costheta sintheta),(-costheta sintheta, cos^2theta)] + [(sin^2theta, -costheta sintheta),(costhetasintheta, sin^2theta)]`

= `[(cos^2theta + sin^2theta ,-costhetasintheta - costhetasintheta),(-costhetasintheta + costhetasintheta, cos^2theta + sin^2theta)]`

= `[(1, 0),(0, 1)]`

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

APPEARS IN

Balbharati Mathematics and Statistics 1 (Arts and Science) 11th Standard Maharashtra State Board
Chapter 4 Determinants and Matrices
Exercise 4.5 | Q 7 | Page 87
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×