Current location - Training Enrollment Network - Mathematics courses - Trigonometric constant problem in senior one mathematics. ..
Trigonometric constant problem in senior one mathematics. ..
1)cos 36 cos 72 = 2 sin 36 cos 36 cos 72/(2 sin 36)

=sin72 cos72 /(2sin36)

=sin 144 /(4sin36)

=sin36 /(4sin36)

= 1/4

2) The same principle as the above formula:

sin 10 sin 30 sin 50 sin 70 = 2cos 10 sin 10 sin 30 sin 50 sin 70/(2cos 10)

= sin 20 sin 30 sin 50 sin 70/(2cos 10)

= sin 20 * 1/2 * cos 40 * cos 20/(2cos 10)

=sin40 cos40 /(8cos 10)

=sin80 /( 16cos 10)

= 1/ 16