Simplify to a single trig function with no denominator. cos theta*tan theta Answer: theta

Understand Identities: Understand the trigonometric identities involved. We know that tan(theta) = sin(theta)/cos(theta). We will use this identity to simplify the expression cos(theta)*tan(theta).Substitute Identity: Substitute the identity for tan(theta) into the expression. cos(theta)*tan(theta) = cos(theta) * (sin(theta)/cos(theta))Simplify Expression: Simplify the expression by canceling out the common terms. The cos(theta) in the numerator and the cos(theta) in the denominator cancel each other out, leaving us with: cos(theta)*tan(theta) = sin(theta)Verify Final Expression: Verify that the final expression is a single trigonometric function with no denominator. The final expression is sin(theta), which is indeed a single trigonometric function with no denominator.

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Simplify to a single trig function with no denominator.

cos theta*tan theta
Answer:

theta

Simplify to a single trig function with no denominator. $\newline$ $\cos \theta \cdot \tan \theta$ $\newline$ Answer:

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Algebra 1

Simplify radical expressions with variables

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

\newline

\cos \theta \cdot \tan \theta

\newline

Answer:

Understand Identities: Understand the trigonometric identities involved. $\newline$ We know that $\tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}$ . We will use this identity to simplify the expression $\cos(\theta)\cdot\tan(\theta)$ .
Substitute Identity: Substitute the identity for $\tan(\theta)$ into the expression. $\cos(\theta)\cdot\tan(\theta) = \cos(\theta) \cdot \left(\frac{\sin(\theta)}{\cos(\theta)}\right)$
Simplify Expression: Simplify the expression by canceling out the common terms. The $\cos(\theta)$ in the numerator and the $\cos(\theta)$ in the denominator cancel each other out, leaving us with: $\cos(\theta)\cdot\tan(\theta) = \sin(\theta)$
Verify Final Expression: Verify that the final expression is a single trigonometric function with no denominator. $\newline$ The final expression is $\sin(\theta)$ , which is indeed a single trigonometric function with no denominator.