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

Express tan(theta): Express tan(theta) in terms of sin(theta) and cos(theta) as tan(theta) = sin(theta)/cos(theta).Substitute tan(theta): Substitute tan(theta) with sin(theta)/cos(theta) in the given expression to get (sin(theta))/(sin(theta)/cos(theta)).Simplify expression: Simplify (sin(theta))/(sin(theta)/cos(theta)) by multiplying the numerator and denominator by cos(theta) to get (sin(theta) * cos(theta))/sin(theta).Cancel common terms: Cancel out the common sin(theta) terms in the numerator and denominator to get cos(theta).

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Simplify to a single trig function with no denominator.

(sin theta)/(tan theta)
Answer:

theta

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

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Answer:

Express $\tan(\theta)$ : Express $\tan(\theta)$ in terms of $\sin(\theta)$ and $\cos(\theta)$ as $\tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}$ .
Substitute $\tan(\theta)$ : Substitute $\tan(\theta)$ with $\frac{\sin(\theta)}{\cos(\theta)}$ in the given expression to get $\frac{\sin(\theta)}{\sin(\theta)/\cos(\theta)}$ .
Simplify expression: Simplify $(\sin(\theta))/(\sin(\theta)/\cos(\theta))$ by multiplying the numerator and denominator by $\cos(\theta)$ to get $(\sin(\theta) \cdot \cos(\theta))/\sin(\theta)$ .
Cancel common terms: Cancel out the common $\sin(\theta)$ terms in the numerator and denominator to get $\cos(\theta)$ .