Question

COSO here A > B. Find 19. If sin(A + B) = 1 and COS(A - B) = 13, where A > B. Find the value of B? (1) 30Ⓡ (2) 45° (3) 60° (4) 90°

11th - 12th Class

Maths

Solution

4.0 (1 ratings)

( sin [n+B]=1 ) ( sin [A B]=sin 40 ) ( A+B=90 ) ( cos [n-B]=frac{sqrt{3}}{2} ) ( cos {A-B]=cos 30 ) ( A-B=30 ) trom ( A+B=90 ) ( frac{A-B=30}{2 n=120} ) ( vec{n}=60 Rightarrow overrightarrow{B=30} )