A
We know sine and cosine are complementary angles
sin(90−θ)=cosθB
According to the identity
1+tan2θ=sec2θ
C
cscθ×sinθ=1sinθ×sinθ=1
D
The angle in a semi circle is 90 degrees. In other words any triangle with one of its sides being a diameter and all vertices on the circle has its angle opposite the diameter being 90 degrees.
E
The longest chord of the circle is diameter of the circle