MathDB

The vertex

B

of the triangle

ABC

lies in the plane

P

. The plane of the triangle meets the plane in a line

L

. The angle between

L

and

AB

is a, and the angle between

L

and

BC

b

. The angle between the two planes is

c

. Angle

ABC

90^o

. Show that

\sin^2c = \sin^2a + \sin^2b

. https://cdn.artofproblemsolving.com/attachments/9/e/c0608e5408fd27a5f907a3488cce7dc2af6953.png

Problem Statement