Question

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

Answer 1

\[\sin(90-x)=\frac{a}{h}=\cos(x)\]

Answer 2

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

Answer 3

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)

Answer 4

but the her said the answer is just cot theta

Answer 5

teacher

Answer 6

the teacher is mistaken

Answer 7

unless there is a typo in the question

Answer 8

oh yes my apologies its cos not cot

Answer 9

i understand now