MATH SOLVE

3 months ago

Q:
# 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)

Accepted Solution

A:

Answer:−1/cotθ1/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 Tan1/cot(−θ)
----> The reciprocal of Cot is Tan and cot(−θ) = −cot θ.−1/cot(−θ)
tan θ
tan(−θ)----> tan(−θ) = −tan θ