Question

If cos theta - sin theta =m, then cos theta +sin theta =________

Answer 1

Answer:

Step-by-step explanation:

(Cos theta- sin theta)^2= m^2

Cos^2theta+ sin^2 theta- 2 sin theta cos theta = m^2

1-2sin theta . Cos theta= m^2

2sin theta.cos theta= -m^2+1

Now (Cos theta + sin theta)^2= 1+2sin theta . cos theta =

1- m^2+1

=2-m^2

(Cos theta+ sin theta)^2= 2-m^2

Square root both sides

Cos theta + sin theta= root 2- m