Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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:

View step-by-step help

View step-by-step help

Simplify radical expressions with variables

Full solution

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.

More problems from Simplify radical expressions with variables

Question

\newline

\sqrt{\frac{9}{25}}

\newline

Posted 2 months ago

Question

\newline

1,000

\text{ milligrams}

\_\_\_\_

\text{ grams}

Posted 2 months ago

Question

3

-gallon bottle of bleach costs

\$11.52

. What is the price per quart?

\newline

Posted 2 months ago

Question

Maureen can't wait to make chocolate chip zucchini bread with zucchini from her garden. Her recipe calls for

8

ounces of chocolate chips per loaf. If she has enough zucchini to make

4

loaves of zucchini bread, how many pounds of chocolate chips does she need?

\newline

Hint: There are

16

1

\newline

Write your answer as a whole number, decimal, or simplified fraction. Do not round.

\newline

Posted 2 months ago

Question

A whale is swimming due north at a speed of

30

miles per hour. Just

5

miles away, a whale-watching tour boat is traveling south, directly toward the whale, at a speed of

46

miles per hour. How long will it be before they meet? If necessary, round your answer to the nearest minute.

\_\_\_\_

\_\_\_\_

Posted 2 months ago

Question

\newline

500

=

Posted 3 months ago

Question

\newline

2,000

=

Posted 3 months ago

Question

\newline

750

=

Posted 3 months ago

Question

\newline

1,500

=

Posted 3 months ago

Question

\newline

1,500

=

Posted 3 months ago