Question

3sinx+4cosx=5, then valu of 4cosx-3sinx

Answer 1

3sinx + 4cosx = 5 .

3/5sinx + 4/5cosx = 1

Comparing it with standard equation;

sinx*sinx + cosx*cosx= 1

We get cosx= 4/5 , sinx = 3/5 .

Now, Substitute .

4cosx-3sinx

= 4 ( 4/5) - 3(3/5)

= 7/5 .

Hope helped!