Question
Simplify cos180*sin225*cos80/sin170*tan135
Answers
Steve
what's the problem?
cos 180 = -1
sin 225 = -sin 45 = -1/√2
sin 170 = sin 10 = cos 80
tan 135 = -tan 45 = -1
and you have
(-1)(-1/√2)(cos 80) / (cos 80)(-1) = -1/√2
or -(-sin 45) / -tan 45 = -cos 45 = -1/√2
cos 180 = -1
sin 225 = -sin 45 = -1/√2
sin 170 = sin 10 = cos 80
tan 135 = -tan 45 = -1
and you have
(-1)(-1/√2)(cos 80) / (cos 80)(-1) = -1/√2
or -(-sin 45) / -tan 45 = -cos 45 = -1/√2