Question

Sin(π-a)/cos(π/2+a)

Answer 1

Sin(п-а) / cos(п/2+а) = sin а / -sin а = -1

Answer 2

We can use trigonometric identities to simplify the expression:

sin(π-a) = sin π cos a - cos π sin a = 0 cos a - (-1) sin a = sin a cos(π/2+a) = cos π/2 cos a - sin π/2 sin a = 0 cos a - 1 sin a = -sin a

Substituting these identities, we get:

sin(π-a)/cos(π/2+a) = sin a / (-sin a) = -1

Therefore, the expression simplifies to -1.