Chapter 6: Q.8 (page 380)

The point on the unit circle that corresponds to $θ = \frac{π}{2}$ is $P =$ _________.

Short Answer

Expert verified

The point on the unit circle that corresponds to $θ = \frac{π}{2}$ is $P = (0, 1)$ .

Step by step solution

Given information

The main objective is to find the point on the unit circle at $θ = \frac{π}{2}$ .

Evaluate

The point on a unit circle that corresponds to $θ$ is defined as $(x, y) = (\cos θ, \sin θ)$ .

Find $\cos θ, \sin θ$ at $θ = \frac{π}{2}$ .

$\cos (\frac{π}{2}) = 0 \sin (\frac{π}{2}) = 1$

Therefore, the point is $(0, 1) .$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

The point on the unit circle that corresponds to $θ = \frac{π}{2}$ is $P =$ _________.

Short Answer

Step by step solution

Given information

Evaluate

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Discrete Mathematics

Decision Maths

Statistics

Pure Maths

Mechanics Maths

Study anywhere. Anytime. Across all devices.

The point on the unit circle that corresponds toθ=π2isP=_________.

Short Answer

Step by step solution

Given information

Evaluate

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Discrete Mathematics

Decision Maths

Statistics

Pure Maths

Mechanics Maths

Study anywhere. Anytime. Across all devices.

The point on the unit circle that corresponds to $θ = \frac{π}{2}$ is $P =$ _________.