Jika sin^(-1) x + sin^(-1)y + sin^(-1)z =?, maka buktikan bahwa x?1-y^2 + y?1-x^2 = z.

Jika sin^(-1) x + sin^(-1)y + sin^(-1)z =?, maka buktikan bahwa x?1-y^2 + y?1-x^2 = z.

Misal sin^(-1) x = a, sin^(-1)y = b, sin^(-1)z = c.

a+b+c=.

x✓1-y^2 + y✓1-x^2

= sin a cos b + cos a sin b

= sin (a + b)

= sin (π – c)

= z

10


Related Posts