41.5k views
4 votes
Cos10°-sin10°÷cos10°+sin10°=tan45°

User Bibscy
by
6.3k points

1 Answer

2 votes
cos10-sin10÷cos10+sin10
=sin(90-10)-sin10÷sin(90-10)+sin10
=sin80-sin10÷sin80+sin10
=sin(80-10)÷sin(80-10)
=sin70÷sin70
=1
tan45=1
hence proved
User Reid Johnson
by
6.2k points