Answer:
−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
Answer:
Square roots of numbers less than 1 are between 0 and 1, while square roots of numbers greater than 1 are greater than 1. For numbers between 0 and 1, the square root is greater than the number; for numbers larger than 1, the square root is less than the number.
Step-by-step explanation:
Answer:
See Explanation
Step-by-step explanation:
Answer:
Step-by-step explanation:
If we have a linear function and we multiply the input of the function, we aren't really <em>changing</em> the values of the function, we're changing the rate at which those values are reached.
E.g. if you look at the attached picture, we have and , which is just . The value when the red line is x = 1 is half that of the value of the blue line when x = 1.
The values of the f(2x) line are reaching the values of f(x) twice as fast, meaning it has a slope of twice as much. However, it still grows through the same intercept.
If you're interested in the calculus behind this, look up the chain rule of derivatives.
However, when you start changing the output of the function, you're changing the entire equation. It's not the same line anymore.
Answer:
(9-8) + 8 = 9
Step-by-step explanation: