Mathematics
Related Questions
Verify each of the following :
(i) sin 60° cos 30° - cos 60° sin 30° = sin 30°
(ii) 2 sin 30° cos 30° = sin 60°
(iii) 2 sin 45° cos 45° = sin 90°
If A = 45°, verify that :
(i) sin 2A = 2 sin A cos A
(ii) cos 2A = (2 cos2A - 1) = (1 - 2 sin2A)
If A = B = 45°, show that :
(i) sin(A - B) = sin A cos B - cos A sin B
(ii) cos(A + B) = cosA cosB - sin A sin B
If A = 60° and B = 30°, show that :
(sin A cos B + cos A sin B)2 + (cos A cos B - sin A sin B)2 = 1