Question

If sin a + b is equal to 1 and sin a minus b is equal to half find a and b

Answer 1

Answer:

Step-by-step explanation:

Sina+b=1=sin 90

A+b=90=>1st equation

Sina-b=1/2=sin 30

A-b=30=>2nd equation

On solving 1 and 2

A=60

B=30

Hope it helps

Answer 2

$\sin(a + b) = 1 \\ a + b = \frac{\pi}{2} \: \: \: \: \: \: \: ...(1) \\ similarly \\ a - b = \frac{\pi}{6} \: \: \: \: \: \: \: ...(2) \\ \: \: \: \: \: \: \: \: \: \: \: \: (1) + (2) \\ 2a = \frac{2\pi}{3} \\ a = \frac{\pi}{3} \: \: \: \: \: \: \: \: \: \: \: \: ...(3) \\ putting \: (3) \: in \: (1) \: we \: get \\ b = \frac{\pi}{6}$