if tan (A+B)=1 and tan (A-B)=1/✓3,0°<a +b<90°,a>b then find the value of a and b
Answers
Answered by
2
Answer:
The values of A and B are 37.5° and 7.5°
Step-by-step explanation:
Given:
tan(A+B)=1 ⇒ A+B=45°
tan(A-B)=1/√3 ⇒ A-B=30°
A+B=45°____(1)
A-B=30°____(2)
Adding (1) and (2)
2A=75°
A=37.5°
put A=37.5° in (1) we get
B=45° - 37.5°
B=7.5°
Similar questions