Which expressions are equivalent to −tan⁡ θ?

there may be more than one correct answer. select all that apply.

1/cotθ
−1/cotθ
1/cot(−θ)
−1/cot(−θ)
tan/ θ
tan/(−θ)

−1/cotθ

1/cot(−θ)

tan(−θ)

Step-by-step explanation:

The tangent function is a the ratio for an angle defined as opposite / adjacent.  A negative applied to −tan⁡ θ will give the opposite value. This is also true for the function when taken on a negative angle. tan(−θ) = −tan⁡ θ. This identity is also true for sin, sec, and cot. Recall that cotangent is the reciprocal of tangent and is defined as the ratio adjacent / opposite. Taking the reciprocal of cotangent will be the same as tangent. Using this information the following are equivalent:

1/cotθ

−1/cotθ  > The reciprocal of Cot is Tan

1/cot(−θ) > The reciprocal of Cot is Tan and cot(−θ) = −cot⁡ θ.

−1/cot(−θ)

tan θ

tan(−θ)> tan(−θ) = −tan⁡ θ

1=b 2=c 16=c can i get brainliest

2 equivalent expressions to represent the area of a rectangle and the top is n-3 and the side is 2

area of the rectangle = length * width

given length = n - 3

width = 2

replace it in the area

so area of the rectangle = (n-3) *2

= 2(n-3)

one of the expression is 2(n-3)

to get another expression we distribute 2 inside the parenthesis

2(n-3) is 2n - 6

so another expression is 2n - 6

two equivalent expression are

2(n - 3)   , 2n - 6