Question

If sin(a - b) = 1/2 and cos(a +b) =1/2 where a and b are
positive acute angles, then
a) a = 45°, ß = 15° b ) a = 15°, B = 45°
c) a = 60°,B = 15º d ) None of these
cincos​

Answer 1

Answer:

a-b= 30

a+b=60

2a=90

a=45

b=15

Answer 2

Answer:

a=45°,b=15°

Step-by-step explanation:

sin(a-b)=1/2=sin30°(equation no. 1)

cos(a+b)=1/2=cos60°(equation no.2)

comparing equatuon (1)&(2)

we get

a-b=30°

a+b=60°

___________

adding 2a=90°

a=45°

from equation (2)implies that

45+b=60°

implies b=60°-45°=15°