Question

This Question is from trigonometry class 10 CBSE​

Answer 1

We know that:

Sin30=1/2

Cos60=1/2

Therefore

Cos(A+B)=Cos60

Sin(A-B)=Sin30

Therefore

A+B=60(equation 1)

A-B=30(equation 2)

Adding 1 and 2

A+B+A-B=60+30

2A=90

A=45

andB=15(Substitute the valuebof A in any of the equations.)

Hope it helps

Thankyou

Answer 2

Answer:

sin(A-B) = 1/2

=>sin30= 1/2

A-B =30=>eq1

cos (A+B) =1/2

=> A+B = 60=>eq2

cos60=1/2

from eq 1 and 2

A-B= 30 A+B=60from elimination method

A-B=30

A+B=60

-2B= -30

B=15.

substitute in eq 1

A-B=30

A= 30+15

A=45

.

. . A>B