Question

Find measure of the angles A and B If cos A - B = √3/2 and sin A + B = √3/2​

Answer 1

Answer :-

• B = 15°
• A = 45°

Step By Step Explanation :-

Refer the above provided attachment

Answer 2

Given,

$cos \: a - b = \sqrt{ \frac{3}{2} }$

A - B = 30°

A = 30+ B -------> 1

$sin \: a + b = \sqrt{ \frac{3}{2} }$

A + B = 60° -------->2

From equation 1 and 2

= 30+B+B=60°

30+2B=60

2B=60-30

2B=30°

$b = \frac{30}{2}$

so,

B = 15°

A = 30+B

A = 30+15

A = 45°