Question

यदि sin (A-B)=1/2 और सीCOS(A+B)=1/2तो Aऔर Bका मान ज्ञात कीजिए ​

Answer 1

Given that,

$sin(a - b) = \frac{1}{2}$

and

$cos(a + b) = \frac{1}{2}$

To calculate,

A and B

Calculations,

as we know that,

$sin30 = \frac{1}{2}$

therefore,

A-B=30° ...(1)

and

$cos60 = \frac{1}{2}$

therefore,

A+B=60° ...(2)

therefore,

from eq 1 +eq 2

2A=90°

A=45°

sunstituting in eq 2

45°+B=90°

B=45°

hope it helps to you☺️