120k views
1 vote
Simplify (sin^2 θ + cos^2 θ)(sin θ + cos θ)

User Alan Shi
by
3.8k points

2 Answers

4 votes

Answer:

sin θ + cos θ

Explanation:

There is a trigonometric identity that states that:

sin²θ + cos²θ = 1

Now, for the given we have:

(sin²θ + cos²θ) (sin θ + cos θ)

Applying the above identity, we would find that the expression becomes:

(1) (sin θ + cos θ) which is equal to sin θ + cos θ

Hope this helps :)

User Christoph Hansen
by
4.2k points
3 votes

Answer:

Lab Assessment

1.) D. Sin theta cos theta

2.) D. Csc theta

3.) A. Cos^2 theta

4.) C. Sin theta + cos theta

Explanation:

Edge2021

User Jcarrera
by
3.6k points