Penjelasan dengan langkah-langkah:

Cos x - Sin x = 1

a=1 b=-1

r = √(1)²+(-1)²

= √(1)+1

= √(2)

tan p = b/a

= -1/1

= -1

tan 135 = -1

r Cos (x-p)=1

√(2) Cos (x-135)=1

Cos (x-135)=1/√(2)

Cos (x-135)=√(2)/2

Cos (x-135)=1/2√(2)

Cos (x-135)=Cos 45

(x-135)=45

(x)=45+135

(x)=180

atau

Cos (x-135)=1/2√(2)

Cos (x-135)=Cos 315

(x-135)=315

(x)=315+135

(x)=450

HP=(180⁰, 450⁰)

√2Cos(2x-10)-√6Sin(2x-10)

a=√(2) b=-√(6)

r=√(√(2)²)+(√(6)²)

=√(2)+(6)

=√(8)

=√(4x2)

=2√(2)

tan p = b/a

= -√(6)/√(2)

= -√(6)/√(2) x √(2)/√(2)

= -√(12)/2

= -1/2√(12)

= -1/2√(4x3)

= -1/2.2√(3)

= -√(3)

tan p = -√(3)

tan -71,565⁰ = -√(3)

r Cos (2x-10)-p)

2√(2) Cos (2x-10)-(-71,565⁰)

2√(2) Cos (2x-10)+71,565⁰)

2√(2) Cos (2x+61,565⁰)

Demikian

Semoga membantu dan bermanfaat!