Hong Kong Diploma of Secondary Education Examination
Mathematics
Extended Part
Module 2 (Algebra and Calculus)
The following formulas will be provided in the question papers for candidates’ reference:
sin ( A ± B ) = sin A cos B ± cos A sin B
sin A + sin B = 2 sin
A+ B
A− B
cos
2
2
cos ( A ± B) = cos A cos B m sin A sin B
sin A − sin B = 2 cos
A+ B
A− B
sin
2
2
tan ( A ± B) =
tan A ± tan B
1 m tan A tan B
2 sin A cos B = sin ( A + B) + sin ( A − B)
2 cos A cos B = cos ( A + B) + cos ( A − B)
2 sin A sin B = cos ( A − B) − cos ( A + B)
cos A + cos B = 2 cos
cos A − cos B = −2 sin
A+ B
A− B
cos
2
2
A+ B
A− B
sin
2
2