Tinkermom said:
Ok. going to tackle LHS. I change everything on LHS to sine and cosine.
cos? (tan? + cot?)=csc?
= cos? (sin?/cos?) + cos?(cos?/sin?)
= sin? + cos^2?/sin?
= 1 + (cos^2?)/sin?
= (1 + 1-cos^2?)/sin?
= (1+ 1-sin^2?)/sin?
I don't know what to do next...
You maybe need some grouping symbols in this step:
I am going to use "x" instead of theta.....
= cos x( sin x / cos x) + cos x(cos x / sin x)
= (sin x) + (cos[sup:1tus4cy4]2[/sup:1tus4cy4] x / sin x)
or,
= (sin x / 1) + (cos[sup:1tus4cy4]2[/sup:1tus4cy4] x / sin x)
If you want to combine those fractions, you need a common denominator, which is sin x.....
= (sin x / 1)*(sin x / sin x) + (cos[sup:1tus4cy4]2[/sup:1tus4cy4] x / sin x)
= (sin[sup:1tus4cy4]2[/sup:1tus4cy4] x / sin x) + (cos[sup:1tus4cy4]2[/sup:1tus4cy4] x / sin x)
The denominators are now the same. ADD the numerators, and put the result over the common denominator:
= (sin[sup:1tus4cy4]2[/sup:1tus4cy4] x + cos[sup:1tus4cy4]2[/sup:1tus4cy4] x) / sin x
Can you finish it now? Hint: what can you substitute for (sin[sup:1tus4cy4]2[/sup:1tus4cy4] x + cos[sup:1tus4cy4]2[/sup:1tus4cy4] x)?
