We have to simplify
sec(θ) sin(θ) cot(θ)
Now first of all let's simplify these separately , using reciprocal identities.
Sec(θ) = 1/cos(θ)
Sin(θ) is already simplified
Cot(θ)= cos(θ) / sin(θ) ,
Let's plug these values in the expression
sec(θ) sin(θ) cot(θ)
= ( 1/cos(θ) ) * ( sin(θ) ) * ( cos(θ) / sin(θ) )
= ( sin(θ) /cos(θ) ) * ( cos(θ) /sin(θ) )
sin cancels out with sin and cos cancels out with cos
So , answer comes out to be
=( sin(θ) /cos(θ) ) * ( cos(θ) /sin(θ) )
= 1
38 yard piece for each student and there are 16 students:
38*16=608
608 yards needed for your class
This is how you do it: (in the picture)
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is 
Solution:
Given
of what number is
.
Let us first convert the mixed fraction into improper fraction.


Now, let us take the unknown number be x.


Do the cross multiplication.



Now, again change the improper fraction into mixed fraction.

Hence
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is
.
Answer:
This will help you answer the question
The most important thing to remember when writing a proportion is to keep the units the same in both ratios. You know the fractions are equivalent because each shows the ratio of girls to boys in the class. The first fraction shows the known ratio of girls to boys.