Ok So I'm stuck on another problem. Gee, when I think that I'm getting it I run into something else.
Verify that:
\(\displaystyle {{{\rm cos }\alpha } \over {\sec \alpha {\rm }}}{\rm } + {\rm }{{\sin {\rm }\alpha } \over {csc\alpha }} = {\rm sec}^{\rm 2} - {\rm tan}^{\rm 2}\)
I'm not sure what to do, according to my text I'd have to first work on the side that is more difficult, which is the left side. My thought was to make a common denominator then add both sides:
\(\displaystyle {{\cos \alpha \csc \alpha } \over {\sec \alpha \csc \alpha }} + {{\sin \alpha \sec \alpha } \over {\sec \alpha \csc \alpha }} = {{\cos \alpha \csc \alpha + \sin \alpha \sec \alpha } \over {\sec \alpha \csc \alpha }}{\rm ,}\)
From there I'm stuck. I was thinking that I change all that into terms of sin and cos. The thing is that I'm not sure how to proceed from there. It all looks a little messy to me. Please help! Thanks! Wouls I have to work on both sides??
Verify that:
\(\displaystyle {{{\rm cos }\alpha } \over {\sec \alpha {\rm }}}{\rm } + {\rm }{{\sin {\rm }\alpha } \over {csc\alpha }} = {\rm sec}^{\rm 2} - {\rm tan}^{\rm 2}\)
I'm not sure what to do, according to my text I'd have to first work on the side that is more difficult, which is the left side. My thought was to make a common denominator then add both sides:
\(\displaystyle {{\cos \alpha \csc \alpha } \over {\sec \alpha \csc \alpha }} + {{\sin \alpha \sec \alpha } \over {\sec \alpha \csc \alpha }} = {{\cos \alpha \csc \alpha + \sin \alpha \sec \alpha } \over {\sec \alpha \csc \alpha }}{\rm ,}\)
From there I'm stuck. I was thinking that I change all that into terms of sin and cos. The thing is that I'm not sure how to proceed from there. It all looks a little messy to me. Please help! Thanks! Wouls I have to work on both sides??