Answer:
The answer is B 1, 2, and 3
Answer: x+y>5 or (x+y)-5
Step-by-step explanation:
There are two potential ways of writing five less than the sum of x and y. You can use an expression or an inequality.
Inequality
By using an inequality, we would use the less than sign because 5 is <u>less than</u> the sum of x and y.
5<x+y
We can also write it where the variables are on the left side, which is usually preferred.
x+y>5
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Expression
For an expression, we would basically write an equation, but without the equals sign.
(x+y)-5
Since 5 is less than the sum of x and y, we would subtract 5 from x+y. We don't necessarily need to put parentheses around x+y since the order of operations tells us to add or subtract from left to right in order. It is still good to be specific, saying that it is the sum of x and y.
We have that
tan x=5
we know that
tan x =sin x/ cos x
sin x/ cos x=5------> squaring-----> sin² x/cos² x=25
remember that
sin² x+cos² x=1-----> cos² x=1-sin² x
substitute
sin² x/[1-sin² x]=25
sin² x=25-25*sin² x
26*sin² x=25
sin² x=25/26
sin x=5/√26
cos² x=1-(5/√26)²----> 1-(25/26)----> 1/26
cos x=1/√26
the answers are
sin x=5/√26
cos x=1/√26
