Simplify to a single trig function with no denominator. (cos theta)/(cot 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))/(cos(theta)/sin(theta)).Simplify expression: Simplify (cos(theta))/(cos(theta)/sin(theta)) by multiplying by the reciprocal of the denominator to get (cos(theta) * sin(theta))/cos(theta).Cancel common factor: Cancel out the common factor of cos(theta) in the numerator and denominator to get sin(theta).

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Simplify to a single trig function with no denominator.

(cos theta)/(cot theta)
Answer:

theta

Simplify to a single trig function with no denominator. $\newline$ $\frac{\cos \theta}{\cot \theta}$ $\newline$ 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{\cos \theta}{\cot \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 $\frac{\cos(\theta)}{\cos(\theta)/\sin(\theta)}$ .
Simplify expression: Simplify $(\cos(\theta))/(\cos(\theta)/\sin(\theta))$ by multiplying by the reciprocal of the denominator to get $(\cos(\theta) \cdot \sin(\theta))/\cos(\theta)$ .
Cancel common factor: Cancel out the common factor of $\cos(\theta)$ in the numerator and denominator to get $\sin(\theta)$ .