Question

2. The general solution of V3 cos x - sin x = 1 is?

Answer 1

Answer:

Given, cosx−sinx=1

Dividing both sides by

2

1

∴

2

1

cosx−

2

1

sinx=

2

1

∴cos(x+

4

π

)=cos

4

π

x+

4

π

=2nπ±

4

π

, where nεI

x=2nπ±

4

π

−

4

π

, where nεI

x=2nπ,2nπ−

4

π

−

4

π

, where nεI

x=2nπ,2nπ−

4

2π

, where nεI

x=2nπ,2nπ−

2

π

, where nεI

x=2nπ,

2

π

(4n−1), where nεI

Hence, the general solution is 2nπ,

2

π

(4n−1) where nεI.