Question

Simplify. $\frac{\sin ^2 x+2 \sin x+1}{\sin x+1}$

   Simplify.
 $\frac{\sin ^2 x+2 \sin x+1}{\sin x+1}$

Algebra and Trigonometry

Algebra and Trigonometry

Beecher, Judith… 1st Edition

Chapter 7, Problem 19

Instant Answer

Solved by Expert Ankit Gupta

07/02/2020

Step 1

Notice that the numerator can be factored. Show more…

Show all steps

lock

Thanks for your feedback!

Simplify. $\frac{\sin ^2 x+2 \sin x+1}{\sin x+1}$

Play audio

Feedback

Powered by NumerAI

Ankit Gupta and 88 other educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Domain Restrictions

Domain restrictions denote the values for which an expression is undefined, typically when a factor in the denominator is zero. When simplifying expressions by canceling common factors, it is important to specify and consider these restrictions to maintain the expression's equivalence.

Factoring

Factoring is the process of breaking down expressions into products of simpler factors. It is particularly useful for simplifying expressions by revealing patterns, such as perfect square trinomials, which can be rewritten as squared binomials.

Cancellation of Common Factors

Cancellation of common factors involves reducing a rational expression by eliminating identical factors in the numerator and denominator. This process needs to be performed carefully, ensuring that the factors being canceled are not equal to zero.

Recommended Videos

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later