write as single trigonometric function: sin(90degrees-theta)/cot(90degrees-theta) PLEASE I KNOW THE ANSWER I JUST NEED SOMEONE TO EXPLAIN IT

Question

misty1212 · Answer

|dw:1418873521702:dw|$$\sin(90-x)=\frac{a}{h}=\cos(x)$$

misty1212 · Answer

same with 
$$\cot(90-x)=\frac{b}{a}=\tan(x)$$

nikato · Answer

You should know by cofunction identities That sin(90-theta)= cos theta And cot(90-theta)=tan theta http://www.mathwords.com/t/trig_identities.htm So you can rewrite as cos(theta) ---------- tan(theta)

anonymous · Answer

but the her said the answer is just cot theta

anonymous · Answer

teacher

misty1212 · Answer

the teacher is mistaken

misty1212 · Answer

unless there is a typo in the question

anonymous · Answer

oh yes my apologies its cos not cot

anonymous · Answer

i understand  now