Simplify to a single trig function with no denominator. (cot theta)/(cos theta) Answer: theta

Express cot(theta): Express cot(theta) in terms of cos(theta) and sin(theta) as cot(theta) = cos(theta)/sin(theta).Substitute cot(theta): Substitute cot(theta) with cos(theta)/sin(theta) in the given expression to get (cos(theta)/sin(theta))/(cos(theta)).Simplify the expression: Simplify the expression by dividing cos(theta) by cos(theta), which results in 1/sin(theta).Recognize the definition: Recognize that 1/sin(theta) is the definition of csc(theta), so the expression simplifies to csc(theta).

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Simplify to a single trig function with no denominator.

(cot theta)/(cos theta)
Answer:

theta

Simplify to a single trig function with no denominator. $\newline$ $\frac{\cot \theta}{\cos \theta}$ $\newline$ Answer:

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Algebra 2

Simplify expressions using trigonometric identities

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Q. Simplify to a single trig function with no denominator.

\newline

\frac{\cot \theta}{\cos \theta}

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Answer:

Express $\cot(\theta)$ : Express $\cot(\theta)$ in terms of $\cos(\theta)$ and $\sin(\theta)$ as $\cot(\theta) = \frac{\cos(\theta)}{\sin(\theta)}$ .
Substitute $\cot(\theta)$ : Substitute $\cot(\theta)$ with $\frac{\cos(\theta)}{\sin(\theta)}$ in the given expression to get $\frac{\frac{\cos(\theta)}{\sin(\theta)}}{\cos(\theta)}$ .
Simplify the expression: Simplify the expression by dividing $\cos(\theta)$ by $\cos(\theta)$ , which results in $\frac{1}{\sin(\theta)}$ .
Recognize the definition: Recognize that $\frac{1}{\sin(\theta)}$ is the definition of $\csc(\theta)$ , so the expression simplifies to $\csc(\theta)$ .