Question

if sin (a-b)=1/2 and cos(a+b)=2 find a and b

Answer 1

Answer:

Step-by-step explanation:

sin(a-b)=1/2

sin(a-b)=sin30°

a-b=30 •••{eq.1}

cos(a+b)=1/2

cos(a+b)=cos60°

a+b=60 •••{eq.2}

Eliminating {eq.1} & {eq.2}

a-b=30

a+b=60

--------------

a+a=30+60

2a=90

a=45•••{eq.3}

Substituting the value of {eq.3} into

{eq.2}

a+b=60

45+b=60

b=15

!!!!!!Done