Answer:
csc(q)
Step-by-step explanation:
You could plug in values for q for the problem and the choices and see which choice gives the same outputs. Of course, that would mean you need to know that cot() is cos()/sin() or 1/tan() and csc()=1/sin()
So anyways you can also use identities to rewrite the given expression
sin(q)+cos(q)cot(q) [given ]
sin(q)+cos(q)cos(q)/sin(q) by quotient identity
sin(q)+cos^2(q)/sin(q) [simplify]
sin(q)sin(q)/sin(q)+cos^2(q)/sin(q) multiply first term by 1
sin^2(q)/sin(q)+cos^2(q)/sin(q) [simplify ]
(sin^2(q)+cos^2(q))/sin(q) [combined fractions ]
1/sin(q) by Pythagorean identity
csc(q) by reciprocal identity
Answer: on point -10
Step-by-step explanation:
Because 2*-5 is -10.
Answer:
12 by 12
Step-by-step explanation:
The area of a square is
, where
is side length of the square. Therefore, we have:
![s^2=144,\\s=\sqrt{144}=12](https://tex.z-dn.net/?f=s%5E2%3D144%2C%5C%5Cs%3D%5Csqrt%7B144%7D%3D12)
Since all side lengths of a square are equal, the dimensions are 12 by 12.