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

Express cot(theta): Express cot(theta) in terms of cos(theta) and sin(theta) as cot(theta) = cos(theta)/sin(theta).Express csc(theta): Express csc(theta) in terms of sin(theta) as csc(theta) = 1/sin(theta).Substitute csc(theta): Substitute csc(theta) with 1/sin(theta) in the given expression to get (cot(theta))/(1/sin(theta)).Simplify expression: Simplify (cot(theta))/(1/sin(theta)) as (cos(theta)/sin(theta)) * (sin(theta)/1) to get cos(theta).

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Simplify to a single trig function with no denominator.

(cot theta)/(csc theta)
Answer:

theta

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

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\frac{\cot \theta}{\csc \theta}

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Answer:

Express $\cot(\theta)$ : Express $\cot(\theta)$ in terms of $\cos(\theta)$ and $\sin(\theta)$ as $\cot(\theta) = \frac{\cos(\theta)}{\sin(\theta)}$ .
Express $\csc(\theta)$ : Express $\csc(\theta)$ in terms of $\sin(\theta)$ as $\csc(\theta) = \frac{1}{\sin(\theta)}$ .
Substitute $\csc(\theta)$ : Substitute $\csc(\theta)$ with $\frac{1}{\sin(\theta)}$ in the given expression to get $\frac{\cot(\theta)}{\frac{1}{\sin(\theta)}}$ .
Simplify expression: Simplify $\frac{\cot(\theta)}{\frac{1}{\sin(\theta)}}$ as $\frac{\cos(\theta)}{\sin(\theta)} \cdot \frac{\sin(\theta)}{1}$ to get $\cos(\theta)$ .