Question

if tan a + b equal to root 3 and tan a minus b equal to 1 find the angle A and B​

Answer 1

Answer:

tan a + b =√3 (tan60°=√3)

tan a + b = tan60°

so, a + b=60 equation 1

tan a- b =1 (tan45°=1)

tan a- b =tan45°

tan a- b =tan45°

so, a - b=45° equation 2

then , a - b= 45

a + b=60

2a = 105

a= 105/2=52.5°

then substitute value a in equation 1

a + b = 60

52.5+b= 60

b=60-52.5=7.5°

Answer 2

tan a + b =√3 (tan60°=√3)

tan a + b = tan60°

so, a + b=60 equation 1

tan a- b =1 (tan45°=1)

tan a- b =tan45°

tan a- b =tan45°

so, a - b=45° equation 2

then , a - b= 45

a + b=60

2a = 105

a= 105/2=52.5°

then substitute value a in equation 1

a + b = 60

52.5+b= 60

b=60-52.5=7.5°

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