123k views
0 votes
1-sin^2x / sin^2x + cos^2x

User Waleed
by
8.3k points

2 Answers

1 vote

Final answer:

The question asks to simplify a trigonometric expression using identities. By applying the Pythagorean trigonometric identity, sin^2x + cos^2x = 1, the expression simplifies to cos^2x.

Step-by-step explanation:

The student's question, 1-sin2x / sin2x + cos2x, involves simplifying a trigonometric expression. We know from the Pythagorean trigonometric identity that sin2x + cos2x = 1. Therefore, we can rewrite the expression by replacing the denominator with 1, resulting in:



1 - sin2x = cos2x



Now the expression simplifies to:



cos2x / 1 = cos2x



Thus, the simplified form of the original expression is cos2x. This uses the fundamental properties of trigonometric identities to simplify the expression.

User Caoilte
by
8.8k points
3 votes

Answer:

Solution answer is
cos^2x

Step-by-step explanation:


1-sin^2x  = cos^2x


sin^2x + cos^2x = 1

then


1-sin^2x / sin^2x + cos^2x = cos^2x / 1

So

Solution answer is
cos^2x

User Kaushalyap
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories