For θ = π/3, evaluate sin^2 θ + cos^2 θ.

Unlock all questions

This demo includes only 20 questions. Upgrade to access hundreds of questions, flashcards, exam simulations, and disable ads.

Full question bankExam simulationsFlashcards
From $25.99Unlock all

Get ready for your Honors Mathematics 3 exam with our engaging quizzes. Use flashcards and multiple choice questions with explanations to enhance your study. Prepare effectively for the test!

Multiple Choice

For θ = π/3, evaluate sin^2 θ + cos^2 θ.

Explanation:
The sine and cosine of any angle satisfy sin^2 θ + cos^2 θ = 1. For θ = π/3, sin(π/3) = √3/2 and cos(π/3) = 1/2. Squaring and adding gives (√3/2)^2 + (1/2)^2 = 3/4 + 1/4 = 1. So the value is 1, which is the option that matches 1.

The sine and cosine of any angle satisfy sin^2 θ + cos^2 θ = 1. For θ = π/3, sin(π/3) = √3/2 and cos(π/3) = 1/2. Squaring and adding gives (√3/2)^2 + (1/2)^2 = 3/4 + 1/4 = 1. So the value is 1, which is the option that matches 1.

More Multiple Choice Questions
Subscribe

Get the latest from Passetra

You can unsubscribe at any time. Read our privacy policy