Question

 If sin (P- Q)= 1/2 and cos (P+Q)=1/2. Find P and Q, where P and Q are acute angles. [2]​

Answer 1

Answer:

sin(p-q)=sin30

p-q=30

cos(p+q)=cos60

p+q=60(subtract equation second by first

2p=90

p=45

q=15

Answer 2

Answer:

Step-by-step explanation:

sin (P- Q)= 1/2= sin (30°)

comparing both sides

P- Q=30°                                      ..............1

cos (P+Q)=1/2=cos(60°)

comparing both sides

P+Q=60°                                      ..............2

adding 1 and 2

2P=90°

P=45°

subtracting1 from 2

2Q=30°

Q=15°